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 5/10 written as an equivalent fraction with denominator 100 is 50/100 on a number line marked in hundredths.
Grade 5 students convert 5/10 to 50/100 by multiplying numerator and denominator by 10.
2. A Grade 5 student plots 0.3 on a number line and writes the equivalent fraction with denominator 10 as 3/10 exactly.
Grade 5 learners write 0.3 as 3/10 because the digit 3 lies in the tenths place on the number line.
3. Grade 5 learners convert 0.50 and 0.5 to fractions on a number line and write the simplest form as 1/2 for both.
Grade 5 students see 0.50 and 0.5 are equivalent because both equal 5/10, which simplifies to 1/2.
4. When a Grade 5 student locates 0.7 on a number line, the equivalent fraction with denominator 10 written down is 7/10 exactly.
Grade 5 learners convert 0.7 to 7/10 because the digit 7 sits in the tenths place on the number line.
5. In Grade 5, 0.4 and 4/10 are equivalent; the simplest form fraction the student records on the worksheet is 2/5 in the end.
Grade 5 students simplify 4/10 by dividing both numerator and denominator by 2 to get 2/5.
6. A Grade 5 student plots 0.25 on a number line marked in hundredths and writes the simplest form fraction as 1/4 exactly.
Grade 5 learners plot 0.25 on a hundredths number line and simplify 25/100 to 1/4.
7. Grade 5 learners write the decimal 0.8 as a fraction with denominator 10 first, then simplify the answer to 4/5 in lowest terms.
Grade 5 students convert 0.8 to 8/10, then divide top and bottom by 2 to get 4/5.
8. When a Grade 5 student converts 9/10 to an equivalent fraction with denominator 100, the equivalent fraction written is 90/100 exactly.
Grade 5 learners multiply 9/10 by 10/10 to get the equivalent fraction 90/100 on a hundredths number line.
9. A Grade 5 student notices 0.2 and 2/10 share a number line position; the simplest form fraction recorded is 1/5 in lowest terms.
Grade 5 students simplify 2/10 by dividing numerator and denominator by 2 to get 1/5.
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: 0.5 simplest fraction
→ 1/2
1/2
Grade 5: 0.4 simplest fraction
→ 2/5
2/5
Grade 5: 0.75 simplest fraction
→ 3/4
3/4
Grade 5: 0.2 simplest fraction
→ 1/5
1/5
Grade 5 students match decimals to simplest form fractions by reducing tenths and hundredths fractions to lowest terms.