Converting Fractions to Decimals

Show your work for each problem.

1.
What is as a decimal?
1. a)0.2
2. b)0.5
3. c)1.2
4. d)0.12
Answer: 0.5
. Half of 1 is 0.5.
2.
What is as a decimal?
1. a)0.75
2. b)3.4
3. c)0.43
4. d)0.34
Answer: 0.75
. Note: 0.34 would be wrong because you must divide, not just place the numbers.
3.
Convert to a decimal.
Answer: 0.7
. Fractions with denominator 10 are easy: just move the decimal point!
4.
Convert to a decimal.
Answer: 0.25
. This is a quarter, or 25 cents out of a dollar.
5.
Which fraction equals 0.5?
1. a)
2. b)
3. c)
4. d)
Answer:
. The others: , , .
6.
Convert to a decimal using division.
Answer: 0.4
1. What is the numerator (top number)? 2
2. What is the denominator (bottom number)? 5
3. Set up the division: numerator / denominator. What is ? 0.4
7.
Convert to a decimal.
Answer: 0.8
. Four fifths is 80% of a whole.
8.
Convert to a decimal.
Answer: 0.625
1. Set up the division: . Does 8 go into 5? no
2. Add a decimal: . How many times does 8 go into 50? 6
3. After 6, the remainder is 2. Bring down a 0 to get 20. How many times does 8 go into 20? 2
4. What is the final decimal? 0.625
9.
A recipe calls for cup of butter. What is this as a decimal?
1. a)0.375
2. b)0.308
3. c)0.38
4. d)3.8
Answer: 0.375
. 0.38 is a rounded approximation, not exact.
10.
Convert to a decimal.
Answer: 0.9
. Nine tenths is 90% of a whole.
11.
A student got on a test. Convert this to a decimal to find their percentage.
Answer: 0.85
1. What division do you set up? 17 / 20
2. What is ? 0.85
3. To convert to a percentage, multiply by 100. What percentage is 0.85? 85
12.
Convert to a decimal.
Answer: 0.875
. Seven eighths is 87.5% of a whole.
13.
A shirt is on sale for of the original price. If the original price was 40 euros, what is the sale price?
Answer: 24
1. First, convert to a decimal. What is ? 0.6
2. Now multiply the original price by the decimal: 24
3. What is the sale price in euros? 24
14.
Which fraction does NOT equal 0.25?
1. a)
2. b)
3. c)
4. d)
Answer:
, not 0.25. The others: , , .
15.
Convert to a decimal.
Answer: 0.44
1. Set up the division: . Does 25 go into 11? no
2. Add decimals: . How many times does 25 go into 110? 4
3. The remainder is 10. Bring down 0 to get 100. How many times does 25 go into 100? 4
4. What is the final decimal? 0.44