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:
A Grade 5 student wrote 0.5 as 5/100 in simplest form using the place value chart for hundredths.
Corrected: A Grade 5 student wrote 0.5 as 1/2 in simplest form using the place value chart for tenths.
Grade 5 students recognize 0.5 is in the tenths place, equal to 5/10, which simplifies to 1/2.
2. Fix the sentence:
In Grade 5 math, the decimal 0.25 converted to a fraction in simplest form is written as 25/10 directly.
Corrected: In Grade 5 math, the decimal 0.25 converted to a fraction in simplest form is written as 1/4 directly.
Grade 5 students convert 0.25 to 25/100, then simplify by dividing top and bottom by 25 to get 1/4.
3. Fix the sentence:
A Grade 5 learner converted 0.6 to a fraction and answered 6/100, claiming the simplest form was correct here.
Corrected: A Grade 5 learner converted 0.6 to a fraction and answered 3/5, claiming the simplest form was correct here.
Grade 5 students know 0.6 equals 6/10; dividing top and bottom by 2 gives 3/5 in simplest form.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. In Grade 5, the decimal 0.5 written as a fraction in simplest form is 1/2 since 5/10 reduces by 5.
Grade 5 students convert 0.5 to 5/10, then divide by 5 to get 1/2 in simplest form.
2. A Grade 5 student converts 0.25 to a fraction in simplest form and writes the equivalent answer as 1/4 exactly.
Grade 5 learners simplify 25/100 by dividing top and bottom by 25 to get 1/4 in simplest form.
3. Grade 5 learners convert the decimal 0.6 to a fraction in simplest form and the final answer they write is 3/5.
Grade 5 students reduce 6/10 by dividing both numerator and denominator by 2 to get 3/5.
4. When a Grade 5 student rewrites 0.75 as a fraction in simplest form on the worksheet, the answer is 3/4 overall.
Grade 5 learners convert 0.75 to 75/100, then divide by 25 to write the simplest form 3/4.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. Explain how a Grade 5 student converts 0.25 to a fraction in simplest form using place value and the greatest common factor.
Sample answer: A Grade 5 student reads 0.25 as twenty-five hundredths, writes 25/100, then divides numerator and denominator by 25, the greatest common factor, to get 1/4.
Grade 5 students use hundredths place value and the GCF to convert 0.25 to 1/4 in simplest form.
2. Describe how a Grade 5 student shows that 0.6 and 3/5 are equivalent using a number line marked in tenths.
Sample answer: A Grade 5 student plots 0.6 at six tenths between 0 and 1. They also plot 3/5, which equals 6/10, at the same spot, showing 0.6 and 3/5 are equivalent.
Grade 5 learners use equivalent fractions and number lines to confirm 0.6 and 3/5 represent the same value.