Add 40/21 and 56/40
1st number: 1 19/21, 2nd number: 1 16/40
40/21 + 56/40 is 347/105.
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,
40/21 = 40 × 40/21 × 40 = 1600/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
56/40 = 56 × 21/40 × 21 = 1176/840 - Add the two like fractions:
1600/840 + 1176/840 = 1600 + 1176/840 = 2776/840 - 2776/840 simplified gives 347/105
- So, 40/21 + 56/40 = 347/105
In mixed form: 332/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/21+56/40 40/42+56/40 40/21+56/80 40/63+56/40