Add 35/84 and 42/60
35/84 + 42/60 is 67/60.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 60 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
35/84 = 35 × 5/84 × 5 = 175/420 - Likewise, for the 2nd fraction, since 60 × 7 = 420,
42/60 = 42 × 7/60 × 7 = 294/420 - Add the two like fractions:
175/420 + 294/420 = 175 + 294/420 = 469/420 - 469/420 simplified gives 67/60
- So, 35/84 + 42/60 = 67/60
In mixed form: 17/60
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