Add 42/30 and 35/21
1st number: 1 12/30, 2nd number: 1 14/21
42/30 + 35/21 is 46/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 21 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
42/30 = 42 × 7/30 × 7 = 294/210 - Likewise, for the 2nd fraction, since 21 × 10 = 210,
35/21 = 35 × 10/21 × 10 = 350/210 - Add the two like fractions:
294/210 + 350/210 = 294 + 350/210 = 644/210 - 644/210 simplified gives 46/15
- So, 42/30 + 35/21 = 46/15
In mixed form: 31/15
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