Add 30/35 and 42/60
30/35 + 42/60 is 109/70.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 60 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 35 × 12 = 420,
30/35 = 30 × 12/35 × 12 = 360/420 - Likewise, for the 2nd fraction, since 60 × 7 = 420,
42/60 = 42 × 7/60 × 7 = 294/420 - Add the two like fractions:
360/420 + 294/420 = 360 + 294/420 = 654/420 - 654/420 simplified gives 109/70
- So, 30/35 + 42/60 = 109/70
In mixed form: 139/70
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