Add 35/60 and 30/42
35/60 + 30/42 is 109/84.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 42 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 60 × 7 = 420,
35/60 = 35 × 7/60 × 7 = 245/420 - Likewise, for the 2nd fraction, since 42 × 10 = 420,
30/42 = 30 × 10/42 × 10 = 300/420 - Add the two like fractions:
245/420 + 300/420 = 245 + 300/420 = 545/420 - 545/420 simplified gives 109/84
- So, 35/60 + 30/42 = 109/84
In mixed form: 125/84
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