Grade 6 · Free math lesson
Fractions & Decimals
After this lesson, you will be able to convert fractions to decimals and decimals to fractions with confidence.
Practice Fractions & Decimals freeSkills in this unit
Pick a skill to try three free questions on just that.
- Dividing fractions by fractions
- Multiplying fractions and mixed numbers
- Adding and subtracting fractions with unlike denominators
- Adding, subtracting, multiplying, and dividing decimals
- Converting between fractions, decimals, and percents
- Comparing and ordering fractions and decimals
- Greatest common factor and least common multiple
- Fraction word problems
What Is a Fraction?
A fraction shows a part of a whole. The bottom number (denominator) tells how many equal parts there are, and the top number (numerator) tells how many parts you have.
Example: 3/4 means you have 3 out of 4 equal pieces of a chocolate bar.
Remember: Think: Denominator = Down below = total pieces.
Fraction to Decimal
To turn a fraction into a decimal, just divide the top number by the bottom number. Your calculator or long division does the work!
Example: 3/4 → 3 ÷ 4 = 0.75. So 3/4 and 0.75 are the same amount!
Remember: The fraction bar means DIVIDE. Top ÷ Bottom = Decimal.
Decimal to Fraction
Look at how many digits are after the decimal point. One digit → put it over 10. Two digits → put it over 100. Then simplify if you can!
Example: 0.75 has two digits after the point → 75/100. Simplify by dividing both by 25 → 3/4.
Remember: Count the decimal places, add that many zeros to your 1: one place = /10, two places = /100.
Worked example
Convert 0.25 to a fraction, then simplify it.
- 1Step 1: Count the decimal places. 0.25 has 2 digits after the point, so write it as 25/100.
- 2Step 2: Find the biggest number that divides both 25 and 100. That's 25.
- 3Step 3: Divide top and bottom by 25 → 25 ÷ 25 = 1, and 100 ÷ 25 = 4.
Answer: 0.25 = 1/4
The #1 mistake to avoid
Students flip the numerator and denominator when dividing — always divide TOP by BOTTOM, never bottom by top. Remember: fraction bar = divide top by bottom.
Key takeaways
- A fraction shows parts of a whole: top number ÷ bottom number.
- To convert a fraction to a decimal, divide the top by the bottom.
- To convert a decimal to a fraction, use 10, 100, or 1000 as the denominator based on decimal places, then simplify.
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