Add 27/30 and 3/42
27/30 + 3/42 is 34/35.
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,
3/42 = 3 × 5/42 × 5 = 15/210 - Add the two like fractions:
189/210 + 15/210 = 189 + 15/210 = 204/210 - 204/210 simplified gives 34/35
- So, 27/30 + 3/42 = 34/35
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