Changing mixed fractions to decimals - Studyladder Interactive ... - Free Printable

Let's solve the worksheet step by step. This worksheet focuses on converting mixed fractions (with tenths and hundredths) into decimals.

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🔹 Key Rules to Remember:

1. Mixed number → Decimal:
- The whole number goes to the left of the decimal point.
- The fraction part becomes the decimal digits to the right of the decimal point.
2. Tenths (1/10): One digit after the decimal.
- Example: $ \frac{3}{10} = 0.3 $
3. Hundredths (1/100): Two digits after the decimal.
- Example: $ \frac{78}{100} = 0.78 $

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## ✔ Part 1: Change these fractions to decimals

a) $ 8\frac{3}{10} $

- Whole number: 8
- Fraction: $ \frac{3}{10} = 0.3 $
- Answer: 8.3

b) $ 9\frac{2}{10} $

- Whole: 9, Fraction: $ \frac{2}{10} = 0.2 $
- Answer: 9.2

c) $ 3\frac{8}{10} $

- Whole: 3, Fraction: $ \frac{8}{10} = 0.8 $
- Answer: 3.8

d) $ 9\frac{5}{10} $

- Whole: 9, Fraction: $ \frac{5}{10} = 0.5 $
- Answer: 9.5

e) $ 2\frac{7}{10} $

- Whole: 2, Fraction: $ \frac{7}{10} = 0.7 $
- Answer: 2.7

f) $ 2\frac{1}{10} $

- Whole: 2, Fraction: $ \frac{1}{10} = 0.1 $
- Answer: 2.1

g) $ 5\frac{3}{10} $

- Whole: 5, Fraction: $ \frac{3}{10} = 0.3 $
- Answer: 5.3

h) $ 7\frac{6}{10} $

- Whole: 7, Fraction: $ \frac{6}{10} = 0.6 $
- Answer: 7.6

i) $ 1\frac{4}{10} $

- Whole: 1, Fraction: $ \frac{4}{10} = 0.4 $
- Answer: 1.4

j) $ 7\frac{2}{10} $

- Whole: 7, Fraction: $ \frac{2}{10} = 0.2 $
- Answer: 7.2

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## ✔ Part 2: Change these fractions to decimals (hundredths)

a) $ \frac{78}{100} $

- $ \frac{78}{100} = 0.78 $

b) $ \frac{28}{100} $

- $ \frac{28}{100} = 0.28 $

c) $ \frac{5}{100} $

- $ \frac{5}{100} = 0.05 $

d) $ \frac{16}{100} $

- $ \frac{16}{100} = 0.16 $

e) $ \frac{81}{100} $

- $ \frac{81}{100} = 0.81 $

f) $ 1\frac{1}{100} $

- Whole: 1, Fraction: $ \frac{1}{100} = 0.01 $
- Answer: 1.01

g) $ \frac{8}{100} $

- $ \frac{8}{100} = 0.08 $

h) $ 7\frac{4}{100} $

- Whole: 7, Fraction: $ \frac{4}{100} = 0.04 $
- Answer: 7.04

i) $ 4\frac{3}{100} $

- Whole: 4, Fraction: $ \frac{3}{100} = 0.03 $
- Answer: 4.03

j) $ 5\frac{7}{100} $

- Whole: 5, Fraction: $ \frac{7}{100} = 0.07 $
- Answer: 5.07

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## ✔ Part 3: Mixed numbers with hundredths

> Note: For mixed numbers like $ 28\frac{6}{100} $, write 28 to the left of the decimal, and 06 to the right (since it’s hundredths).

a) $ 97\frac{27}{100} $

- Whole: 97, Fraction: $ \frac{27}{100} = 0.27 $
- Answer: 97.27

b) $ 5\frac{70}{100} $

- Whole: 5, Fraction: $ \frac{70}{100} = 0.70 $
- Answer: 5.70

c) $ 75\frac{46}{100} $

- Whole: 75, Fraction: $ \frac{46}{100} = 0.46 $
- Answer: 75.46

d) $ 3\frac{1}{100} $

- Whole: 3, Fraction: $ \frac{1}{100} = 0.01 $
- Answer: 3.01

e) $ 1\frac{80}{100} $

- Whole: 1, Fraction: $ \frac{80}{100} = 0.80 $
- Answer: 1.80

f) $ 89\frac{53}{100} $

- Whole: 89, Fraction: $ \frac{53}{100} = 0.53 $
- Answer: 89.53

g) $ 9\frac{87}{100} $

- Whole: 9, Fraction: $ \frac{87}{100} = 0.87 $
- Answer: 9.87

h) $ \frac{60}{100} $

- $ \frac{60}{100} = 0.60 $

i) $ 17\frac{3}{100} $

- Whole: 17, Fraction: $ \frac{3}{100} = 0.03 $
- Answer: 17.03

j) $ \frac{70}{100} $

- $ \frac{70}{100} = 0.70 $

k) $ 24\frac{98}{100} $

- Whole: 24, Fraction: $ \frac{98}{100} = 0.98 $
- Answer: 24.98

l) $ 65\frac{23}{100} $

- Whole: 65, Fraction: $ \frac{23}{100} = 0.23 $
- Answer: 65.23

m) $ 53\frac{40}{100} $

- Whole: 53, Fraction: $ \frac{40}{100} = 0.40 $
- Answer: 53.40

n) $ 21\frac{47}{100} $

- Whole: 21, Fraction: $ \frac{47}{100} = 0.47 $
- Answer: 21.47

o) $ 97\frac{4}{100} $

- Whole: 97, Fraction: $ \frac{4}{100} = 0.04 $
- Answer: 97.04

p) $ 15\frac{20}{100} $

- Whole: 15, Fraction: $ \frac{20}{100} = 0.20 $
- Answer: 15.20

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## ✔ Final Answers:

Part 1:

a) 8.3
b) 9.2
c) 3.8
d) 9.5
e) 2.7
f) 2.1
g) 5.3
h) 7.6
i) 1.4
j) 7.2

Part 2:

a) 0.78
b) 0.28
c) 0.05
d) 0.16
e) 0.81
f) 1.01
g) 0.08
h) 7.04
i) 4.03
j) 5.07

Part 3:

a) 97.27
b) 5.70
c) 75.46
d) 3.01
e) 1.80
f) 89.53
g) 9.87
h) 0.60
i) 17.03
j) 0.70
k) 24.98
l) 65.23
m) 53.40
n) 21.47
o) 97.04
p) 15.20

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✔ Summary Tip:
- Tenths → one digit after decimal (e.g., $ \frac{3}{10} = 0.3 $)
- Hundredths → two digits after decimal (e.g., $ \frac{27}{100} = 0.27 $)
- Always keep leading zeros in hundredths if needed (e.g., $ \frac{4}{100} = 0.04 $, not 0.4)

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