Add 30/35 and 42/49
30/35 + 42/49 is 12/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 49 is 245
Next, find the equivalent fraction of both fractional numbers with denominator 245 - For the 1st fraction, since 35 × 7 = 245,
30/35 = 30 × 7/35 × 7 = 210/245 - Likewise, for the 2nd fraction, since 49 × 5 = 245,
42/49 = 42 × 5/49 × 5 = 210/245 - Add the two like fractions:
210/245 + 210/245 = 210 + 210/245 = 420/245 - 420/245 simplified gives 12/7
- So, 30/35 + 42/49 = 12/7
In mixed form: 15/7
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