Add 35/21 and 75/16
1st number: 1 14/21, 2nd number: 4 11/16
35/21 + 75/16 is 305/48.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 16 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 21 × 16 = 336,
35/21 = 35 × 16/21 × 16 = 560/336 - Likewise, for the 2nd fraction, since 16 × 21 = 336,
75/16 = 75 × 21/16 × 21 = 1575/336 - Add the two like fractions:
560/336 + 1575/336 = 560 + 1575/336 = 2135/336 - 2135/336 simplified gives 305/48
- So, 35/21 + 75/16 = 305/48
In mixed form: 617/48
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/21+75/16 35/42+75/16 35/21+75/32 35/63+75/16 35/21+75/48 35/21+75/80