Converting fractions to decimals is a straightforward process. Here's how you can do it:
How to Convert Fractions to Decimals
Method 1: Division
- Understand the fraction : A fraction has two parts — the numerator (top number) and the denominator (bottom number).
- Divide the numerator by the denominator : Use long division or a calculator.
- For example, to convert 34\frac{3}{4}43 to a decimal, divide 3 by 4.
- Write the quotient : The result of the division is the decimal equivalent.
- 3÷4=0.753\div 4=0.753÷4=0.75, so 34=0.75\frac{3}{4}=0.7543=0.75.
Method 2: Using a Calculator
- Enter the numerator.
- Press the division (÷) button.
- Enter the denominator.
- Press equals (=).
- The display shows the decimal.
Examples:
Fraction| Division| Decimal
---|---|---
12\frac{1}{2}21| 1÷21\div 21÷2| 0.5
58\frac{5}{8}85| 5÷85\div 85÷8| 0.625
710\frac{7}{10}107| 7÷107\div 107÷10| 0.7
Notes:
- Some fractions convert to terminating decimals (like 0.5 or 0.75).
- Others convert to repeating decimals (like 13=0.333...\frac{1}{3}=0.333...31=0.333...).
If you'd like, I can also explain how to handle repeating decimals!
