Add 7/30 and 35/42
7/30 + 35/42 is 16/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
7/30 = 7 × 7/30 × 7 = 49/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
35/42 = 35 × 5/42 × 5 = 175/210 - Add the two like fractions:
49/210 + 175/210 = 49 + 175/210 = 224/210 - 224/210 simplified gives 16/15
- So, 7/30 + 35/42 = 16/15
In mixed form: 11/15
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