Add 75/21 and 30/14
1st number: 3 12/21, 2nd number: 2 2/14
75/21 + 30/14 is 40/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 14 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 21 × 2 = 42,
75/21 = 75 × 2/21 × 2 = 150/42 - Likewise, for the 2nd fraction, since 14 × 3 = 42,
30/14 = 30 × 3/14 × 3 = 90/42 - Add the two like fractions:
150/42 + 90/42 = 150 + 90/42 = 240/42 - 240/42 simplified gives 40/7
- So, 75/21 + 30/14 = 40/7
In mixed form: 55/7
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/21+60/14 75/42+30/14 75/21+30/28 75/21+90/14 75/63+30/14 75/21+30/42 75/21+30/70 75/21+30/98