Add 40/16 and 35/49
1st number: 2 8/16, 2nd number: 35/49
40/16 + 35/49 is 45/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 49 is 784
Next, find the equivalent fraction of both fractional numbers with denominator 784 - For the 1st fraction, since 16 × 49 = 784,
40/16 = 40 × 49/16 × 49 = 1960/784 - Likewise, for the 2nd fraction, since 49 × 16 = 784,
35/49 = 35 × 16/49 × 16 = 560/784 - Add the two like fractions:
1960/784 + 560/784 = 1960 + 560/784 = 2520/784 - 2520/784 simplified gives 45/14
- So, 40/16 + 35/49 = 45/14
In mixed form: 33/14
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/16+35/49 40/16+70/49 40/32+35/49 40/16+35/98 40/48+35/49 40/80+35/49