Converting Fractions and Decimals — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. In Grade 5 math, which fraction is equivalent to the decimal 0.875 in simplest form using long division?
A) 7/8
B) 5/8
C) 3/4
D) 8/10
Grade 5 students divide 7 by 8 to get 0.875, so 0.875 equals 7/8 in simplest form.
2. A Grade 5 student compares 0.6 and 5/8 carefully. Which statement is correct using decimal conversions?
A) 0.6 is greater
B) 0.6 is less
C) They are equal
D) Cannot tell
Grade 5 learners find 5/8 equals 0.625; since 0.6 is less than 0.625, 0.6 is less than 5/8.
3. In Grade 5, which fraction produces a repeating decimal when converted using long division on a worksheet?
A) 1/4
B) 3/8
C) 1/9
D) 7/10
Grade 5 students find 1/9 equals 0.111..., a repeating decimal, while the others terminate exactly.
4. A Grade 5 student rewrites 0.4 and 2/5 with a common denominator of 100. What is the resulting equivalent pair?
A) 40/100 and 40/100
B) 4/100 and 25/100
C) 40/100 and 25/100
D) 4/100 and 40/100
Grade 5 learners convert 0.4 to 40/100 and 2/5 to 40/100, so the pair is 40/100 and 40/100.
Part B: Fill in the Blank
Write the correct answer on each line.
1. In Grade 5, when a student divides 7 by 8 carefully using long division on the page, the resulting terminating decimal is 0.875 exactly.
Grade 5 students divide 7 by 8 to get 0.875, the terminating decimal equivalent of 7/8.
2. A Grade 5 student converts 5/8 to a decimal and uses it to compare with 0.6, finding 5/8 equals 0.625 exactly in decimal form.
Grade 5 learners divide 5 by 8 to get 0.625, which is greater than 0.6 when comparing decimals.
3. Grade 5 learners convert 1/9 using long division and round to thousandths, writing the repeating decimal as 0.111 approximately.
Grade 5 students round the repeating decimal 0.111... to 0.111 at the thousandths place for 1/9.
4. When a Grade 5 student rewrites 2/5 with denominator 100 to compare with 0.4, the equivalent fraction the student records is 40/100 exactly.
Grade 5 learners multiply 2/5 by 20/20 to get the equivalent fraction 40/100, matching 0.4.
5. A Grade 5 student compares 3/4 and 0.8 by converting 3/4 to a decimal first; the decimal equivalent recorded is 0.75 exactly.
Grade 5 students convert 3/4 to 0.75; since 0.75 is less than 0.8, 3/4 is less than 0.8.