Convert between decimals and fractions
key notes :
Converting Decimals to Fractions
Identify the Decimal Place:
- Determine the place value of the decimal. For example, 0.75 is in the hundredths place.
Write as a Fraction:
- Place the decimal number over its place value. For 0.75, write it as 75⁄100.
Simplify the Fraction:
- Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). For 75⁄100, the GCD is 25.
- ⁷⁵÷²⁵ / ¹⁰⁰÷ ²⁵ = 3⁄4
Converting Fractions to Decimals
Divide the Numerator by the Denominator:
- Perform the division to convert the fraction into a decimal. For example, for 3⁄4 .
- Divide 3 by 4, which equals 0.75.
Learn with an example
🎯 Write -0.2 as a fraction.
Start with 0.2.
Write the decimal as a fraction with 10 as the denominator. Reduce the fraction to simplest form.
0.2 = 2/10
= 2÷ 2 / 10 ÷ 2
= 1/5
Now write a negative sign on each number:
-0.2 = -1/5
🎯 Write -39/50 as a decimal number.
Start with 39/50,
Write an equivalent fraction with 100 as the denominator. Then write the decimal number.
39/50 = 39 x 2 / 50 x 2
= 78/100
= 0.78
Now write a negative sign on each number:
-39/50 = -0.78
Write -0.09 as a fraction.
Start with 0.09.
Write the decimal as a fraction with 100 as the denominator.
0.09 = 9/100
9/100 is written in simplest form.
Now write a negative sign on each number:
–0.09 = -9/100
Let’s Practice!
