Converting Fractions and Decimals — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. Use division to convert 3/8 to a decimal. What is the result?
A) 0.375
B) 0.38
C) 0.3
D) 0.83
Grade 5 students divide 3 by 8 step by step to get the terminating decimal 0.375 because 8 goes into 30 three times with remainder 6, then continues.
2. Convert 5/8 to a decimal using division. What is the answer?
A) 0.625
B) 0.58
C) 0.65
D) 0.85
Grade 5 learners divide 5 by 8 to get the terminating decimal 0.625, working through the long division until the remainder is zero.
3. Convert 1/3 to a decimal using division. Which describes the result?
A) 0.333... repeating
B) 0.13 terminating
C) 0.3 terminating
D) 0.31 repeating
Grade 5 students divide 1 by 3 and find the digit 3 repeats forever, so 1/3 equals the repeating decimal 0.333...
4. Convert 7/8 to a decimal using division. What is the result?
A) 0.875
B) 0.78
C) 0.87
D) 0.788
Grade 5 learners divide 7 by 8 to get the terminating decimal 0.875 by working through long division until the remainder is zero.
Part B: Fill in the Blank
Write the correct answer on each line.
1. Use division to convert 1/8 to a decimal. The result is 0.125.
Grade 5 students divide 1 by 8 step by step to get the terminating decimal 0.125 once the remainder reaches zero.
2. Convert 2/3 to a decimal using division. The result is the repeating decimal 0.666...
Grade 5 learners divide 2 by 3 and see the digit 6 repeats forever, so 2/3 equals the repeating decimal 0.666...
3. Use division to convert 9/20 to a decimal. The result is 0.45.
Grade 5 students divide 9 by 20 to get the terminating decimal 0.45 because 9/20 equals 45/100, which is 0.45.
4. Convert 5/6 to a decimal using division. The result is the repeating decimal 0.833...
Grade 5 learners divide 5 by 6 to get 0.833..., where the digit 3 repeats forever after the initial 8 in the tenths place.
5. Use division to convert 11/25 to a decimal. The result is 0.44.
Grade 5 students divide 11 by 25 to get the terminating decimal 0.44 because 11/25 equals 44/100, which is 0.44.