What is converting fractions to decimals?
Converting a fraction to a decimal means rewriting it in decimal form — same value, different look. The fraction bar in any fraction is actually a division sign: 3/4 literally means "3 divided by 4." So to convert, you divide the top by the bottom.
Why it matters
Fractions and decimals are two ways of writing the same numbers, and kids who can switch between them quickly handle money, measurement, and percent problems without getting stuck. This skill is also a state-test staple from Grade 5 onward and a constant move in middle-school algebra.
Worked example
Convert 3/4 to a decimal.
- 1
Remember that 3/4 means 3 divided by 4. Set up the division: 3 ÷ 4.
The fraction bar IS a division sign. Top divided by bottom, always.
- 2
Since 4 doesn’t fit into 3, write 3 as 3.000 and divide.
Adding zeros after the decimal point doesn’t change the value (3 = 3.000), and it gives you digits to bring down.
- 3
How many 4s fit into 30? 7, because 7 × 4 = 28. Write .7 above. Subtract: 30 − 28 = 2. Bring down the next 0 to make 20.
- 4
How many 4s fit into 20? Exactly 5, because 5 × 4 = 20. Write 5 next to the .7 to get .75. Subtract: 20 − 20 = 0. No remainder.
When the remainder hits 0, you’re done — the decimal terminates.
- 5
So 3 ÷ 4 = 0.75. Check: 0.75 = 75/100 = 3/4 (divide top and bottom by 25). ✓
Answer
3/4 = 0.75
Common mistakes
- •Dividing the bottom by the top instead of the top by the bottom — converting 3/4 by computing 4 ÷ 3 = 1.33 instead of 3 ÷ 4 = 0.75.
- •Stopping the division before the decimal terminates or repeats — writing 1/3 = 0.3 when it’s actually 0.333... (repeating).
- •Putting the decimal point in the wrong place — getting 7.5 instead of 0.75 because they didn’t track the place value when bringing down zeros.
- •Memorizing common conversions (1/2 = 0.5, 1/4 = 0.25) but not understanding the division behind them, so unfamiliar fractions (like 3/8 = 0.375) feel impossible.
How Briveli teaches converting fractions to decimals
Briveli covers fraction-to-decimal conversion in Grade 4 (with friendly denominators like 10, 4, and 5) and extends to long-division-based conversion and repeating decimals in Grade 5 and Grade 6 — the same procedure kids will lean on for percent problems later.
Practice Grade 5 math on Briveli