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Math Coach Amy
Amy Ferguson Moncure

7th Grade Math · Unit 2

Fractions to Decimals,
Denominators of 4, 5, 20, 25, 50

Multiply to make a denominator of 10 or 100. Then write the decimal.

Jump to section:

Denominator of 4 Denominator of 5 Denominator of 20 Denominator of 25 Denominator of 50 Mixed Mixed Numbers Improper Fractions
Easy 1

Denominator of 4

Multiply by 25 to make the denominator 100.

Example
Write 14 as a decimal.

Multiply the numerator and the denominator by 25.

1 × 254 × 25

25100

0.25

Answer: 0.25

1
Write 24 as a decimal.
Show Answer

Multiply the numerator and the denominator by 25.

2 × 254 × 25

50100

0.50

Answer: 0.50

2
Write 34 as a decimal.
Show Answer

Multiply the numerator and the denominator by 25.

3 × 254 × 25

75100

0.75

Answer: 0.75

Easy 2

Denominator of 5

Multiply by 2 to make the denominator 10.

Example
Write 15 as a decimal.

Multiply the numerator and the denominator by 2.

1 × 25 × 2

210

0.2

Answer: 0.2

1
Write 25 as a decimal.
Show Answer

Multiply the numerator and the denominator by 2.

2 × 25 × 2

410

0.4

Answer: 0.4

2
Write 35 as a decimal.
Show Answer

Multiply the numerator and the denominator by 2.

3 × 25 × 2

610

0.6

Answer: 0.6

3
Write 45 as a decimal.
Show Answer

Multiply the numerator and the denominator by 2.

4 × 25 × 2

810

0.8

Answer: 0.8

Easy 3

Denominator of 20

Multiply by 5 to make the denominator 100.

Example
Write 120 as a decimal.

Multiply the numerator and the denominator by 5.

1 × 520 × 5

5100

The numerator is one digit, so the tenths place is 0.

0.05

Answer: 0.05

1
Write 320 as a decimal.
Show Answer

Multiply the numerator and the denominator by 5.

3 × 520 × 5

15100

0.15

Answer: 0.15

2
Write 720 as a decimal.
Show Answer

Multiply the numerator and the denominator by 5.

7 × 520 × 5

35100

0.35

Answer: 0.35

3
Write 1120 as a decimal.
Show Answer

Multiply the numerator and the denominator by 5.

11 × 520 × 5

55100

0.55

Answer: 0.55

4
Write 1320 as a decimal.
Show Answer

Multiply the numerator and the denominator by 5.

13 × 520 × 5

65100

0.65

Answer: 0.65

5
Write 1920 as a decimal.
Show Answer

Multiply the numerator and the denominator by 5.

19 × 520 × 5

95100

0.95

Answer: 0.95

Easy 4

Denominator of 25

Multiply by 4 to make the denominator 100.

Example
Write 125 as a decimal.

Multiply the numerator and the denominator by 4.

1 × 425 × 4

4100

The numerator is one digit, so the tenths place is 0.

0.04

Answer: 0.04

1
Write 225 as a decimal.
Show Answer

Multiply the numerator and the denominator by 4.

2 × 425 × 4

8100

The numerator is one digit, so the tenths place is 0.

0.08

Answer: 0.08

2
Write 625 as a decimal.
Show Answer

Multiply the numerator and the denominator by 4.

6 × 425 × 4

24100

0.24

Answer: 0.24

3
Write 925 as a decimal.
Show Answer

Multiply the numerator and the denominator by 4.

9 × 425 × 4

36100

0.36

Answer: 0.36

4
Write 1425 as a decimal.
Show Answer

Multiply the numerator and the denominator by 4.

14 × 425 × 4

56100

0.56

Answer: 0.56

5
Write 2125 as a decimal.
Show Answer

Multiply the numerator and the denominator by 4.

21 × 425 × 4

84100

0.84

Answer: 0.84

Easy 5

Denominator of 50

Multiply by 2 to make the denominator 100.

Example
Write 150 as a decimal.

Multiply the numerator and the denominator by 2.

1 × 250 × 2

2100

The numerator is one digit, so the tenths place is 0.

0.02

Answer: 0.02

1
Write 350 as a decimal.
Show Answer

Multiply the numerator and the denominator by 2.

3 × 250 × 2

6100

The numerator is one digit, so the tenths place is 0.

0.06

Answer: 0.06

2
Write 1150 as a decimal.
Show Answer

Multiply the numerator and the denominator by 2.

11 × 250 × 2

22100

0.22

Answer: 0.22

3
Write 1750 as a decimal.
Show Answer

Multiply the numerator and the denominator by 2.

17 × 250 × 2

34100

0.34

Answer: 0.34

4
Write 2950 as a decimal.
Show Answer

Multiply the numerator and the denominator by 2.

29 × 250 × 2

58100

0.58

Answer: 0.58

5
Write 4350 as a decimal.
Show Answer

Multiply the numerator and the denominator by 2.

43 × 250 × 2

86100

0.86

Answer: 0.86

Mixed

Mixed

Denominators of 20, 25, and 50.

Example
Write 725 as a decimal.

Multiply the numerator and the denominator by 4.

7 × 425 × 4

28100

0.28

Answer: 0.28

1
Write 920 as a decimal.
Show Answer

Multiply the numerator and the denominator by 5.

9 × 520 × 5

45100

0.45

Answer: 0.45

2
Write 425 as a decimal.
Show Answer

Multiply the numerator and the denominator by 4.

4 × 425 × 4

16100

0.16

Answer: 0.16

3
Write 950 as a decimal.
Show Answer

Multiply the numerator and the denominator by 2.

9 × 250 × 2

18100

0.18

Answer: 0.18

4
Write 1720 as a decimal.
Show Answer

Multiply the numerator and the denominator by 5.

17 × 520 × 5

85100

0.85

Answer: 0.85

5
Write 825 as a decimal.
Show Answer

Multiply the numerator and the denominator by 4.

8 × 425 × 4

32100

0.32

Answer: 0.32

6
Write 750 as a decimal.
Show Answer

Multiply the numerator and the denominator by 2.

7 × 250 × 2

14100

0.14

Answer: 0.14

7
Write 620 as a decimal.
Show Answer

Multiply the numerator and the denominator by 5.

6 × 520 × 5

30100

0.30

Answer: 0.30

8
Write 1325 as a decimal.
Show Answer

Multiply the numerator and the denominator by 4.

13 × 425 × 4

52100

0.52

Answer: 0.52

9
Write 2150 as a decimal.
Show Answer

Multiply the numerator and the denominator by 2.

21 × 250 × 2

42100

0.42

Answer: 0.42

10
Write 1420 as a decimal.
Show Answer

Multiply the numerator and the denominator by 5.

14 × 520 × 5

70100

0.70

Answer: 0.70

11
Write 1725 as a decimal.
Show Answer

Multiply the numerator and the denominator by 4.

17 × 425 × 4

68100

0.68

Answer: 0.68

12
Write 3350 as a decimal.
Show Answer

Multiply the numerator and the denominator by 2.

33 × 250 × 2

66100

0.66

Answer: 0.66

13
Write 1820 as a decimal.
Show Answer

Multiply the numerator and the denominator by 5.

18 × 520 × 5

90100

0.90

Answer: 0.90

14
Write 2225 as a decimal.
Show Answer

Multiply the numerator and the denominator by 4.

22 × 425 × 4

88100

0.88

Answer: 0.88

15
Write 3950 as a decimal.
Show Answer

Multiply the numerator and the denominator by 2.

39 × 250 × 2

78100

0.78

Answer: 0.78

16
Write 220 as a decimal.
Show Answer

Multiply the numerator and the denominator by 5.

2 × 520 × 5

10100

0.10

Answer: 0.10

17
Write 1125 as a decimal.
Show Answer

Multiply the numerator and the denominator by 4.

11 × 425 × 4

44100

0.44

Answer: 0.44

18
Write 4750 as a decimal.
Show Answer

Multiply the numerator and the denominator by 2.

47 × 250 × 2

94100

0.94

Answer: 0.94

19
Write 1950 as a decimal.
Show Answer

Multiply the numerator and the denominator by 2.

19 × 250 × 2

38100

0.38

Answer: 0.38

20
Write 3150 as a decimal.
Show Answer

Multiply the numerator and the denominator by 2.

31 × 250 × 2

62100

0.62

Answer: 0.62

Mixed 2

Mixed Numbers

Make a denominator of 10 or 100. Then add the whole number.

Example
Write 315 as a decimal.

3 + 15

Multiply the numerator and the denominator by 2.

1 × 25 × 2

210

3 + 0.2

3.2

Answer: 3.2

1
Write 114 as a decimal.
Show Answer

1 + 14

Multiply the numerator and the denominator by 25.

1 × 254 × 25

25100

1 + 0.25

1.25

Answer: 1.25

2
Write 334 as a decimal.
Show Answer

3 + 34

Multiply the numerator and the denominator by 25.

3 × 254 × 25

75100

3 + 0.75

3.75

Answer: 3.75

3
Write 425 as a decimal.
Show Answer

4 + 25

Multiply the numerator and the denominator by 2.

2 × 25 × 2

410

4 + 0.4

4.4

Answer: 4.4

4
Write 245 as a decimal.
Show Answer

2 + 45

Multiply the numerator and the denominator by 2.

4 × 25 × 2

810

2 + 0.8

2.8

Answer: 2.8

5
Write 4320 as a decimal.
Show Answer

4 + 320

Multiply the numerator and the denominator by 5.

3 × 520 × 5

15100

4 + 0.15

4.15

Answer: 4.15

6
Write 2720 as a decimal.
Show Answer

2 + 720

Multiply the numerator and the denominator by 5.

7 × 520 × 5

35100

2 + 0.35

2.35

Answer: 2.35

7
Write 1825 as a decimal.
Show Answer

1 + 825

Multiply the numerator and the denominator by 4.

8 × 425 × 4

32100

1 + 0.32

1.32

Answer: 1.32

8
Write 6225 as a decimal.
Show Answer

6 + 225

Multiply the numerator and the denominator by 4.

2 × 425 × 4

8100

The numerator is one digit, so the tenths place is 0.

6 + 0.08

6.08

Answer: 6.08

9
Write 3750 as a decimal.
Show Answer

3 + 750

Multiply the numerator and the denominator by 2.

7 × 250 × 2

14100

3 + 0.14

3.14

Answer: 3.14

10
Write 81150 as a decimal.
Show Answer

8 + 1150

Multiply the numerator and the denominator by 2.

11 × 250 × 2

22100

8 + 0.22

8.22

Answer: 8.22

Medium

Improper Fractions

Write the fraction as a mixed number. Then add the whole number and the decimal.

Example
Write 74 as a decimal.

Write the fraction as a mixed number.

134

1 + 34

Multiply the numerator and the denominator by 25.

3 × 254 × 25

75100

1 + 0.75

1.75

Answer: 1.75

1
Write 194 as a decimal.
Show Answer

Write the fraction as a mixed number.

434

4 + 34

Multiply the numerator and the denominator by 25.

3 × 254 × 25

75100

4 + 0.75

4.75

Answer: 4.75

2
Write 95 as a decimal.
Show Answer

Write the fraction as a mixed number.

145

1 + 45

Multiply the numerator and the denominator by 2.

4 × 25 × 2

810

1 + 0.8

1.8

Answer: 1.8

3
Write 175 as a decimal.
Show Answer

Write the fraction as a mixed number.

325

3 + 25

Multiply the numerator and the denominator by 2.

2 × 25 × 2

410

3 + 0.4

3.4

Answer: 3.4

4
Write 2320 as a decimal.
Show Answer

Write the fraction as a mixed number.

1320

1 + 320

Multiply the numerator and the denominator by 5.

3 × 520 × 5

15100

1 + 0.15

1.15

Answer: 1.15

5
Write 3120 as a decimal.
Show Answer

Write the fraction as a mixed number.

11120

1 + 1120

Multiply the numerator and the denominator by 5.

11 × 520 × 5

55100

1 + 0.55

1.55

Answer: 1.55

6
Write 3720 as a decimal.
Show Answer

Write the fraction as a mixed number.

11720

1 + 1720

Multiply the numerator and the denominator by 5.

17 × 520 × 5

85100

1 + 0.85

1.85

Answer: 1.85

7
Write 2725 as a decimal.
Show Answer

Write the fraction as a mixed number.

1225

1 + 225

Multiply the numerator and the denominator by 4.

2 × 425 × 4

8100

1 + 0.08

1.08

Answer: 1.08

8
Write 3925 as a decimal.
Show Answer

Write the fraction as a mixed number.

11425

1 + 1425

Multiply the numerator and the denominator by 4.

14 × 425 × 4

56100

1 + 0.56

1.56

Answer: 1.56

9
Write 5350 as a decimal.
Show Answer

Write the fraction as a mixed number.

1350

1 + 350

Multiply the numerator and the denominator by 2.

3 × 250 × 2

6100

1 + 0.06

1.06

Answer: 1.06

10
Write 7750 as a decimal.
Show Answer

Write the fraction as a mixed number.

12750

1 + 2750

Multiply the numerator and the denominator by 2.

27 × 250 × 2

54100

1 + 0.54

1.54

Answer: 1.54

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