Converting Fractions and Decimals — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. Between 0.4 and 1/3, the larger value is 0.4.
Grade 5 students convert 1/3 to the repeating decimal 0.333... and compare with 0.4 to see that 0.4 is greater.
2. Between 0.6 and 3/5, the two values are equal.
Grade 5 learners convert 3/5 to the terminating decimal 0.6 and see that both numbers represent the same value.
3. Between 1/2 and 0.45, the larger value is 1/2.
Grade 5 students change 1/2 to 0.5 and compare with 0.45 to find 0.5 is larger by 0.05.
4. Between 0.7 and 2/3, the larger value is 0.7.
Grade 5 learners convert 2/3 to the repeating decimal 0.666... and compare with 0.7 to see 0.7 is greater.
5. Between 3/4 and 0.8, the larger value is 0.8.
Grade 5 students convert 3/4 to 0.75 and compare with 0.8 to find 0.8 is larger by 0.05.
6. Between 0.25 and 1/5, the larger value is 0.25.
Grade 5 learners convert 1/5 to the terminating decimal 0.2 and compare with 0.25 to see 0.25 is greater.
7. Between 0.9 and 7/8, the larger value is 0.9.
Grade 5 students divide 7 by 8 to get 0.875 and compare with 0.9 to find 0.9 is greater by 0.025.
8. Between 1/4 and 0.2, the larger value is 1/4.
Grade 5 learners change 1/4 to the terminating decimal 0.25 and compare with 0.2 to see 0.25 is larger.
9. Between 0.5 and 4/9, the larger value is 0.5.
Grade 5 students convert 4/9 to the repeating decimal 0.444... and compare with 0.5 to find 0.5 is greater.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
1/2
→ 0.5
0.5
1/4
→ 0.25
0.25
3/4
→ 0.75
0.75
1/5
→ 0.2
0.2
Grade 5 learners match each fraction with its decimal form by dividing top by bottom, recognizing both forms name the same value.