Add 14/21 and 32/40
14/21 + 32/40 is 22/15.
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,
32/40 = 32 × 21/40 × 21 = 672/840 - Add the two like fractions:
560/840 + 672/840 = 560 + 672/840 = 1232/840 - 1232/840 simplified gives 22/15
- So, 14/21 + 32/40 = 22/15
In mixed form: 17/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/21+32/40 14/21+64/40 14/42+32/40 14/21+32/80 42/21+32/40 14/21+96/40 14/63+32/40 70/21+32/40 98/21+32/40