Add 35/42 and 24/30
35/42 + 24/30 is 49/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 42 × 5 = 210,
35/42 = 35 × 5/42 × 5 = 175/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
24/30 = 24 × 7/30 × 7 = 168/210 - Add the two like fractions:
175/210 + 168/210 = 175 + 168/210 = 343/210 - 343/210 simplified gives 49/30
- So, 35/42 + 24/30 = 49/30
In mixed form: 119/30
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