Add 30/45 and 16/21
30/45 + 16/21 is 10/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 21 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
30/45 = 30 × 7/45 × 7 = 210/315 - Likewise, for the 2nd fraction, since 21 × 15 = 315,
16/21 = 16 × 15/21 × 15 = 240/315 - Add the two like fractions:
210/315 + 240/315 = 210 + 240/315 = 450/315 - 450/315 simplified gives 10/7
- So, 30/45 + 16/21 = 10/7
In mixed form: 13/7
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/45+16/21 30/45+32/21 30/90+16/21 30/45+16/42 90/45+16/21 30/45+48/21 30/45+16/63 30/45+80/21