1. Equivalent Fractions
Equivalent fractions are fractions that are worth exactly the same even though they are written differently. is worth the same as because will simplify to by dividing the numerator and denominator by 2.
1.1 What are Equivalent Fractions?
If two or more fractions simplify to the same fraction, they are said to be equivalent fractions. For instance, the corresponding fractions of 1⁄6 are 5⁄30, 6⁄36, and 4⁄24, which, when simplified equal 1⁄6.
1.2 How to write equivalent fractions?
Let us understand how to simplify fractions and calculate equivalent fractions.
We follow below steps to simplify fractions:
- Look at the numerator and the denominator and find the Highest Common Factor.
- Divide both the numerator and the denominator by the HCF.
- Write the fraction in its simplest terms.
We follow below steps to calculate equivalent fractions:
- Look at the denominators in both fractions and work out the multiplier.
- Multiply the numerator of one of the fractions by the multiplier.
- Complete the second fraction.
Example - Write the fraction 28⁄35 in its simplest form:
Solution:
- Look at the numerator and the denominator and find the Highest Common Factor. The Highest Common Factor of 28 and 35 is 7.
- Divide both the numerator and the denominator by the HCF.
28⁄35 = 4×7 ⁄ 5×7 = 4⁄5
3. We write the fraction in its simplest terms.
28⁄35 = 4⁄5
Example - Write the fraction 117/130 in its simplest form:
Solution:
