Add 35/42 and 16/40
35/42 + 16/40 is 37/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 42 × 20 = 840,
35/42 = 35 × 20/42 × 20 = 700/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
16/40 = 16 × 21/40 × 21 = 336/840 - Add the two like fractions:
700/840 + 336/840 = 700 + 336/840 = 1036/840 - 1036/840 simplified gives 37/30
- So, 35/42 + 16/40 = 37/30
In mixed form: 17/30
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/42+16/40 35/42+32/40 35/84+16/40 35/42+16/80 35/42+48/40 35/42+80/40