Converting Fractions and Decimals — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. Maria has 3/4 of a dollar. Written as a decimal in dollars, that is $0.75.
Grade 5 students convert 3/4 to 0.75 to express three-quarters of a dollar as $0.75 in decimal form.
2. A board is 1/2 of a meter long. Written as a decimal, the length is 0.5 m.
Grade 5 learners convert 1/2 to the terminating decimal 0.5 to express the length as 0.5 meters.
3. Jamal saved $0.25 from his lunch money. As a fraction of a dollar, this is 1/4.
Grade 5 students rewrite 0.25 as 25/100 and simplify by dividing both parts by 25 to get the fraction 1/4.
4. A ribbon is 0.6 meter long. Written as a fraction in lowest terms, this is 3/5 meter.
Grade 5 learners convert 0.6 to 6/10 and simplify by dividing top and bottom by 2 to get 3/5.
5. Sara walked 1 1/2 miles. Written as a decimal, that distance is 1.5 miles.
Grade 5 students convert the fraction part 1/2 to 0.5 and add it to 1 to get the terminating decimal 1.5 miles.
6. A water bottle holds 0.75 liter. Written as a fraction in lowest terms, this is 3/4 liter.
Grade 5 learners simplify 75/100 by dividing top and bottom by 25 to get the fraction 3/4 of a liter.
7. A pencil costs $0.40. As a fraction of a dollar in lowest terms, this is 2/5.
Grade 5 students rewrite 0.40 as 40/100 and divide both parts by 20 to get the simplified fraction 2/5.
8. A rope is 7/10 meter long. Written as a decimal, the length is 0.7 m.
Grade 5 learners write 7/10 directly as the decimal 0.7 because the denominator 10 matches the tenths place.
9. Two friends share $1.25 equally. Each share is $0.625.
Grade 5 students divide 1.25 by 2 to get 0.625, the terminating decimal share for each friend.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
$0.50
→ 1/2 dollar
1/2 dollar
$0.20
→ 1/5 dollar
1/5 dollar
0.5 m
→ 1/2 meter
1/2 meter
0.4 m
→ 2/5 meter
2/5 meter
Grade 5 learners match each money or length decimal with its simplified fraction by rewriting tenths or hundredths and reducing.