Converting Fractions and Decimals — Answer Key
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
The percentage 50% equals the decimal 0.50 and the fraction 1/5.
Corrected: The percentage 50% equals the decimal 0.50 and the fraction 1/2.
Grade 5 students rewrite 50% as 50/100 and simplify by dividing top and bottom by 50 to get 1/2, not 1/5.
2. Fix the sentence:
The percent 25% equals the decimal 0.25 and the fraction 1/2.
Corrected: The percent 25% equals the decimal 0.25 and the fraction 1/4.
Grade 5 learners rewrite 25% as 25/100 and simplify by dividing both parts by 25 to get the fraction 1/4.
3. Fix the sentence:
The fraction 3/4 written as a percentage is 34%.
Corrected: The fraction 3/4 written as a percentage is 75%.
Grade 5 students convert 3/4 to the terminating decimal 0.75, then move the decimal point two places to write it as 75%.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. The percentage 75% written as a decimal is 0.75.
Grade 5 students change 75% to 0.75 by dividing 75 by 100, which shifts the decimal two places left.
2. The fraction 1/2 written as a percent is 50%.
Grade 5 learners convert 1/2 to 0.5, then multiply by 100 to write it as the percent 50%.
3. The decimal 0.25 written as a percentage is 25%.
Grade 5 students change 0.25 to 25% by multiplying by 100, which shifts the decimal two places right.
4. The percent 10% written as a fraction in lowest terms is 1/10.
Grade 5 learners write 10% as 10/100 and simplify by dividing top and bottom by 10 to get 1/10.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. Explain how to convert 50% to both a fraction and a decimal.
Sample answer: Write 50% as 50/100. To get the decimal, divide 50 by 100 to get 0.5. To get the fraction, simplify 50/100 by dividing top and bottom by 50, which gives 1/2.
Grade 5 students learn that percentages, decimals, and fractions are three forms of the same value linked by division by 100.
2. How do you convert the fraction 1/4 to a percentage? Show your steps.
Sample answer: First divide 1 by 4 to get the decimal 0.25. Then multiply 0.25 by 100, or move the decimal point two places right, to get 25%.
Grade 5 learners use division to change 1/4 to 0.25, then scale by 100 to express the value as the percent 25%.