Add 27/30 and 35/42
27/30 + 35/42 is 26/15.
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,
27/30 = 27 × 7/30 × 7 = 189/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
35/42 = 35 × 5/42 × 5 = 175/210 - Add the two like fractions:
189/210 + 175/210 = 189 + 175/210 = 364/210 - 364/210 simplified gives 26/15
- So, 27/30 + 35/42 = 26/15
In mixed form: 111/15
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