Converting Fractions and Decimals — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. In Grade 5, the fraction 7/10 written as a decimal using tenths place value is exactly 0.7 in standard form.
Grade 5 students know 7/10 means seven tenths, so the decimal is 0.7 in tenths place.
2. A Grade 5 student converts 23/100 to a decimal using hundredths place value and writes the answer as 0.23 exactly.
Grade 5 learners write 23/100 as 0.23 because the hundredths place holds two-digit values.
3. Grade 5 learners write 156/1000 as a decimal using thousandths place value and the correct decimal form is 0.156.
Grade 5 students convert 156/1000 to 0.156 because thousandths require three decimal places.
4. When a Grade 5 student writes 9/100 as a decimal, they include a zero placeholder so the answer becomes 0.09 exactly.
Grade 5 learners write 9/100 as 0.09 to show nine hundredths with a zero placeholder.
5. A Grade 5 student rewrites the fraction 4/10 as an equivalent fraction with denominator 100, getting 40/100 as the result.
Grade 5 students multiply 4/10 by 10/10 to get the equivalent fraction 40/100.
6. In Grade 5, the fraction 80/100 simplified to lowest terms gives 4/5 as the simplest form fraction answer.
Grade 5 students simplify 80/100 by dividing both by 20 to get 4/5 in lowest terms.
7. A Grade 5 student converts the decimal 0.9 to a fraction with denominator 10 and writes the answer as 9/10 exactly.
Grade 5 learners convert 0.9 to 9/10 because the digit 9 is in the tenths place.
8. Grade 5 learners write the decimal 0.45 as a fraction with denominator 100 and the correct equivalent fraction is 45/100.
Grade 5 students write 0.45 as 45/100 because the last digit is in the hundredths place.
9. When a Grade 5 student converts 250/1000 to simplest form, dividing top and bottom carefully, the final answer is 1/4.
Grade 5 learners simplify 250/1000 by dividing numerator and denominator by 250 to get 1/4.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
Grade 5: 3/10 as a decimal
→ 0.3
0.3
Grade 5: 47/100 as a decimal
→ 0.47
0.47
Grade 5: 125/1000 as a decimal
→ 0.125
0.125
Grade 5: 6/10 as a decimal
→ 0.6
0.6
Grade 5 students match fractions with denominators 10, 100, and 1000 to decimals using tenths, hundredths, and thousandths place value.