Converting fractions and decimals is a core Grade 5 math skill aligned with CCSS 5.NF, helping students see that fractions and decimals are two ways to write the same number. In Grade 5, learners convert common fractions like 1/2, 1/4, 3/4, 1/5, and 1/10 to decimals using division and equivalent fractions, finding values such as 0.5, 0.25, 0.75, 0.2, and 0.1. Grade 5 students also convert decimals back to fractions in simplest form, recognizing that 0.6 equals 6/10, which simplifies to 3/5, and 0.25 equals 25/100, which simplifies to 1/4. Fractions with denominators of 10, 100, and 1000 connect directly to decimal place value, so 7/10 becomes 0.7, 23/100 becomes 0.23, and 156/1000 becomes 0.156. Grade 5 learners use number lines to show equivalent fractions and decimals, plotting 0.5 and 1/2 at the same point or 0.4 and 2/5 together. Through practice with terminating decimals like 3/8 equals 0.375 and repeating decimals like 1/3 approximately equals 0.333, Grade 5 students build flexible thinking that supports later work with rational numbers, percent, and ratio reasoning across the upper grades.
Worksheet Preview
Browse all 12 printable worksheets below — click any card to open the full page.
Converting Fractions and Decimals
Converting Fractions and Decimals
Converting Fractions and Decimals
Converting Fractions and Decimals
Converting Fractions and Decimals
Converting Fractions and Decimals
Converting Fractions and Decimals
Converting Fractions and Decimals
Converting Fractions and Decimals
Converting Fractions and Decimals
Converting Fractions and Decimals
Converting Fractions and Decimals
What's Included in This Download
What You'll Learn
These converting fractions and decimals worksheets help grade 5 students develop essential math skills through engaging activities.
How to Use These Worksheets
- Download & Print: Click the download button to get the PDF. Print on standard 8.5" x 11" paper.
- Start Simple: Begin with easier pages before moving to more challenging activities.
- Daily Practice: Dedicate 10-15 minutes each day for consistent learning.
- Use Manipulatives: Pair worksheets with physical objects like blocks or counters.
- Provide Encouragement: Celebrate progress and effort to build confidence.
- Check Progress: Use the included answer key to review work together.
Common Mistakes to Watch For
- Grade 5 students sometimes write 1/4 as 0.4 instead of 0.25, copying the denominator into the decimal rather than dividing 1 by 4 to find twenty-five hundredths.
- Grade 5 learners often forget the zero placeholder and write 9/100 as 0.9 instead of 0.09, missing that hundredths need two digits after the decimal point in standard form.
- Grade 5 students sometimes leave fractions like 25/100 unsimplified when converting from 0.25, instead of dividing top and bottom by 25 to write the simplest form 1/4.
Frequently Asked Questions
How do I convert a fraction to a decimal?
In Grade 5 math, divide the numerator by the denominator using long division. For example, 3/4 becomes 3 divided by 4, which equals 0.75. You can also rewrite the fraction with a denominator of 10, 100, or 1000 when possible, like 3/4 equals 75/100, which is 0.75.
How do I convert a decimal to a fraction in simplest form?
In Grade 5, read the decimal using place value, write the fraction, then simplify. For example, 0.6 reads as six tenths, so write 6/10, then divide top and bottom by 2 to get 3/5. For 0.25, write 25/100, then divide by 25 to get 1/4 in simplest form.
What is the difference between a terminating and a repeating decimal?
In Grade 5 math, a terminating decimal ends after a few digits, like 3/8 equals 0.375 or 1/4 equals 0.25. A repeating decimal continues forever with a pattern, like 1/3 equals 0.333... or 1/9 equals 0.111... Grade 5 students often round repeating decimals to a chosen place value.
How are fractions with denominators 10, 100, and 1000 special?
In Grade 5, these fractions connect directly to decimal place value. The denominator tells you the place: 10 means tenths, 100 means hundredths, and 1000 means thousandths. So 7/10 equals 0.7, 23/100 equals 0.23, and 156/1000 equals 0.156, with no division needed.
How do I show equivalent fractions and decimals on a number line?
In Grade 5 math, mark a number line from 0 to 1 in tenths or hundredths. Plot the decimal first, then plot the fraction at the same point to show they are equivalent. For example, 0.5 and 1/2 both sit halfway between 0 and 1, and 0.4 and 2/5 share the same spot.
Are these worksheets really free?
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Can I use these in my classroom?
Absolutely! Teachers are welcome to print and use these worksheets in their classrooms. Make as many copies as needed for your students.