Add 14/21 and 16/40
14/21 + 16/40 is 16/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 21 × 40 = 840,
14/21 = 14 × 40/21 × 40 = 560/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
16/40 = 16 × 21/40 × 21 = 336/840 - Add the two like fractions:
560/840 + 336/840 = 560 + 336/840 = 896/840 - 896/840 simplified gives 16/15
- So, 14/21 + 16/40 = 16/15
In mixed form: 11/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/21+16/40 14/21+32/40 14/42+16/40 14/21+16/80 42/21+16/40 14/21+48/40 14/63+16/40 70/21+16/40 14/21+80/40 98/21+16/40