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:
To convert 1/2 to a decimal in Grade 5 math, the answer is 0.2 because the denominator is 2.
Corrected: To convert 1/2 to a decimal in Grade 5 math, the answer is 0.5 because 1 divided by 2 equals 0.5.
Grade 5 students convert fractions to decimals by dividing numerator by denominator; 1 divided by 2 is 0.5, not 0.2.
2. Fix the sentence:
In Grade 5, the fraction 1/4 written as a decimal is 0.4 since 4 is the denominator value.
Corrected: In Grade 5, the fraction 1/4 written as a decimal is 0.25 since 1 divided by 4 equals 0.25.
Grade 5 learners know 1/4 equals 25/100, so the equivalent decimal is 0.25, not 0.4.
3. Fix the sentence:
A Grade 5 student converted 3/4 and said the equivalent decimal value is 0.34 in simplest form.
Corrected: A Grade 5 student converted 3/4 and said the equivalent decimal value is 0.75 in simplest form.
Grade 5 students convert 3/4 by recognizing it equals 75/100; the correct decimal is 0.75, not 0.34.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. In Grade 5 math, the fraction 1/2 written as a decimal equals 0.5 because 1 divided by 2 is one half.
Grade 5 students learn 1/2 equals 0.5 because dividing 1 by 2 gives one half as a decimal.
2. Grade 5 learners convert 1/5 to a decimal by writing 1/5 as 2/10, which equals 0.2 in decimal form.
Grade 5 students see that 1/5 equals 2/10, and 2/10 written as a decimal is 0.2.
3. When a Grade 5 student converts 1/10 to a decimal form, the correct answer they write down is 0.1 exactly.
Grade 5 learners know 1/10 equals one tenth, written as 0.1 in decimal place value.
4. A Grade 5 worksheet asks for 3/4 as a decimal; the correct equivalent decimal answer is 0.75 in simplest form.
Grade 5 students convert 3/4 by writing it as 75/100, which equals 0.75 in decimal form.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. Explain how a Grade 5 student converts the fraction 1/4 into a decimal using division and place value.
Sample answer: A Grade 5 student divides 1 by 4 to get 0.25. They can also rewrite 1/4 as 25/100, which equals 0.25 because the hundredths place shows twenty-five hundredths.
Grade 5 students use division and equivalent fractions to convert 1/4 to 0.25, building decimal place-value understanding.
2. Describe two ways a Grade 5 student can show that 1/2 equals 0.5 using equivalent fractions and number lines.
Sample answer: A Grade 5 student writes 1/2 as 5/10, which equals 0.5. They can also place 1/2 on a number line halfway between 0 and 1, the same spot as 0.5.
Grade 5 learners connect 1/2 to 5/10 and to a number line position to show 1/2 and 0.5 are equivalent.