Add 7/35 and 35/42
7/35 + 35/42 is 31/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 35 × 6 = 210,
7/35 = 7 × 6/35 × 6 = 42/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
35/42 = 35 × 5/42 × 5 = 175/210 - Add the two like fractions:
42/210 + 175/210 = 42 + 175/210 = 217/210 - 217/210 simplified gives 31/30
- So, 7/35 + 35/42 = 31/30
In mixed form: 11/30
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