Add 35/49 and 42/60
35/49 + 42/60 is 99/70.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 60 is 2940
Next, find the equivalent fraction of both fractional numbers with denominator 2940 - For the 1st fraction, since 49 × 60 = 2940,
35/49 = 35 × 60/49 × 60 = 2100/2940 - Likewise, for the 2nd fraction, since 60 × 49 = 2940,
42/60 = 42 × 49/60 × 49 = 2058/2940 - Add the two like fractions:
2100/2940 + 2058/2940 = 2100 + 2058/2940 = 4158/2940 - 4158/2940 simplified gives 99/70
- So, 35/49 + 42/60 = 99/70
In mixed form: 129/70
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