Add 35/40 and 9/49
35/40 + 9/49 is 415/392.
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,
9/49 = 9 × 40/49 × 40 = 360/1960 - Add the two like fractions:
1715/1960 + 360/1960 = 1715 + 360/1960 = 2075/1960 - 2075/1960 simplified gives 415/392
- So, 35/40 + 9/49 = 415/392
In mixed form: 123/392
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/40+9/49 35/40+18/49 35/80+9/49 35/40+9/98 35/40+27/49 35/40+45/49 35/40+63/49