Converting Fractions and Decimals — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. Convert 1/2, 0.6, 3/5, and 0.45 to decimals. Which is the largest?
A) 0.6
B) 1/2
C) 3/5
D) 0.45
Grade 5 students convert 1/2 to 0.5 and 3/5 to 0.6, then compare to find that 0.6 is the largest, tied with 3/5 but listed as 0.6.
2. Order 3/4, 0.7, 1/2, and 0.65 from least to greatest. Which is least?
A) 1/2
B) 0.65
C) 0.7
D) 3/4
Grade 5 learners convert 3/4 to 0.75 and 1/2 to 0.5, then order the four values to identify 0.5, or 1/2, as the least.
3. Among 2/5, 0.5, 1/4, and 0.35, which value is largest after converting to decimals?
A) 0.5
B) 2/5
C) 0.35
D) 1/4
Grade 5 students convert 2/5 to 0.4 and 1/4 to 0.25, then compare all four to see 0.5 is the largest value.
4. Convert 7/10, 0.8, 3/4, and 0.65 to decimals. Which is the smallest?
A) 0.65
B) 7/10
C) 3/4
D) 0.8
Grade 5 learners convert 7/10 to 0.7 and 3/4 to 0.75, then compare to find 0.65 is the smallest of the four values.
Part B: Fill in the Blank
Write the correct answer on each line.
1. Convert 1/4, 3/10, and 0.2 to decimals. The largest value is 0.3.
Grade 5 students convert each value and compare 0.25, 0.3, and 0.2 to identify 0.3 as the largest terminating decimal.
2. Order 0.5, 1/3, and 2/5 from least to greatest. The middle value is 2/5.
Grade 5 learners convert 1/3 to the repeating decimal 0.333 and 2/5 to 0.4, finding 2/5 in the middle of the ordered list.
3. Convert 4/5, 0.7, and 3/4 to decimals. The largest value is 4/5.
Grade 5 students convert 4/5 to 0.8 and 3/4 to 0.75, then compare with 0.7 to see 4/5, or 0.8, is the largest.
4. Order 1/5, 0.15, and 1/8 from least to greatest. The smallest value is 1/8.
Grade 5 learners convert 1/5 to 0.2 and 1/8 to 0.125, then compare to find 1/8, or 0.125, is the smallest value.
5. Convert 0.6, 5/8, and 11/20 to decimals. The largest value is 5/8.
Grade 5 students divide 5 by 8 to get 0.625 and 11 by 20 to get 0.55, then see 5/8 is the largest of the three.