Add 75/8 and 70/21
1st number: 9 3/8, 2nd number: 3 7/21
75/8 + 70/21 is 305/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 21 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 8 × 21 = 168,
75/8 = 75 × 21/8 × 21 = 1575/168 - Likewise, for the 2nd fraction, since 21 × 8 = 168,
70/21 = 70 × 8/21 × 8 = 560/168 - Add the two like fractions:
1575/168 + 560/168 = 1575 + 560/168 = 2135/168 - 2135/168 simplified gives 305/24
- So, 75/8 + 70/21 = 305/24
In mixed form: 1217/24
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/16+70/21 75/8+70/42 75/24+70/21 75/8+70/63 75/40+70/21 75/56+70/21