Converting Fractions to Decimals
Instructions: Convert each fraction to a decimal, then complete the activities below. Show your working where you can.
1. Fill in the blank
Convert the following fractions to decimals.
a) 1/2 = __________
b) 3/4 = __________
c) 7/10 = __________
d) 9/100 = __________
2. Long division practice
Use long division to convert these fractions to decimals.
a) 3/8 = __________
b) 5/6 = __________ (round to 2 decimal places)
3. Multiple choice
Which decimal is equal to 7/20?
- A) 0.7
- B) 0.35
- C) 0.72
- D) 0.07
Answer: __________
4. Multiple choice
Which decimal is equal to 5/9? (round to 2 decimal places)
- A) 0.45
- B) 0.59
- C) 0.56
- D) 0.55
Answer: __________
5. True or False
Write True or False next to each statement.
a) 2/5 = 0.4 __________
b) 1/3 = 0.33 (rounded to 2 d.p.) __________
c) 11/4 = 2.75 __________
d) 7/8 = 0.785 __________
6. Fill in the missing fraction or decimal
| Fraction | Decimal |
|---|---|
| 1/4 | _______ |
| _______ | 0.6 |
| 3/5 | _______ |
| _______ | 0.125 |
7. Word problem
Mia scored 17 out of 25 on her science test. Her friend scored 0.72 on the same test marked out of 1.
Convert Mia's score to a decimal and decide: who scored higher?
Working:
Answer: __________
8. ⭐ Challenge question
A recipe uses 5/12 of a cup of sugar and 3/8 of a cup of butter.
a) Convert both fractions to decimals (round to 3 decimal places).
b) Which ingredient has the greater amount?
c) What is the total amount of sugar and butter in decimal form?
Working:
Answers:
a) 5/12 = __________ 3/8 = __________
b) __________
c) __________
Answer Key
1. Fill in the blank
a) 1/2 = 0.5
b) 3/4 = 0.75
c) 7/10 = 0.7
d) 9/100 = 0.09
2. Long division practice
a) 3/8 = 0.375
(3 ÷ 8: 30 ÷ 8 = 3 r6 → 60 ÷ 8 = 7 r4 → 40 ÷ 8 = 5 → 0.375)
b) 5/6 = 0.83 (rounded to 2 d.p.; exact = 0.8333...)
3. Multiple choice
B) 0.35
(7 ÷ 20 = 0.35)
4. Multiple choice
C) 0.56
(5 ÷ 9 = 0.5555... ≈ 0.56)
5. True or False
a) 2/5 = 0.4 → True
b) 1/3 = 0.33 (rounded to 2 d.p.) → True
c) 11/4 = 2.75 → True
d) 7/8 = 0.785 → False (7/8 = 0.875)
6. Missing fraction or decimal
| Fraction | Decimal |
|---|---|
| 1/4 | 0.25 |
| 3/5 | 0.6 |
| 3/5 | 0.6 |
| 1/8 | 0.125 |
7. Word problem
17 ÷ 25 = 0.68
Mia scored 0.68; her friend scored 0.72.
Her friend scored higher (0.72 > 0.68).
8. ⭐ Challenge question
a) 5 ÷ 12 = 0.417 (rounded to 3 d.p.)
3 ÷ 8 = 0.375
b) Sugar (5/12) has the greater amount.
c) 0.417 + 0.375 = 0.792 cups total