This Grade 5 worksheet builds confidence converting decimals to fractions in simplest form using place value and the greatest common factor. Grade 5 learners convert 0.5 to 1/2, 0.25 to 1/4, 0.6 to 3/5, and 0.75 to 3/4, working through multiple choice, fill-in, and short answer problems that reinforce Grade 5 fluency with simplest form. Grade 5 students master conversions.
Style:
Converting Fractions and Decimals
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.
Rewrite: A Grade 5 student wrote 0.5 as 1/2 in simplest form using the place value chart for tenths.
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.
Rewrite: In Grade 5 math, the decimal 0.25 converted to a fraction in simplest form is written as 1/4 directly.
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.
Rewrite: A Grade 5 learner converted 0.6 to a fraction and answered 3/5, claiming the simplest form was correct here.
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.
2. A Grade 5 student converts 0.25 to a fraction in simplest form and writes the equivalent answer as 1/4 exactly.
3. Grade 5 learners convert the decimal 0.6 to a fraction in simplest form and the final answer they write is 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.
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.
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.
2. Describe how a Grade 5 student shows that 0.6 and 3/5 are equivalent using a number line marked in tenths.
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.
Converting Fractions and Decimals
★ 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.
Rewrite: A Grade 5 student wrote 0.5 as 1/2 in simplest form using the place value chart for tenths.
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.
Rewrite: In Grade 5 math, the decimal 0.25 converted to a fraction in simplest form is written as 1/4 directly.
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.
Rewrite: A Grade 5 learner converted 0.6 to a fraction and answered 3/5, claiming the simplest form was correct here.
★ 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.
2) A Grade 5 student converts 0.25 to a fraction in simplest form and writes the equivalent answer as 1/4 exactly.
3) Grade 5 learners convert the decimal 0.6 to a fraction in simplest form and the final answer they write is 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.
★ 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.
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.
2) Describe how a Grade 5 student shows that 0.6 and 3/5 are equivalent using a number line marked in tenths.
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.
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9 Questions
15-20 minutes
Auto-graded
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