Add 35/40 and 8/49
35/40 + 8/49 is 407/392.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 49 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 40 × 49 = 1960,
35/40 = 35 × 49/40 × 49 = 1715/1960 - Likewise, for the 2nd fraction, since 49 × 40 = 1960,
8/49 = 8 × 40/49 × 40 = 320/1960 - Add the two like fractions:
1715/1960 + 320/1960 = 1715 + 320/1960 = 2035/1960 - 2035/1960 simplified gives 407/392
- So, 35/40 + 8/49 = 407/392
In mixed form: 115/392
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/40+8/49 35/40+16/49 35/80+8/49 35/40+8/98 35/40+24/49 35/40+40/49 35/40+56/49