Add 35/30 and 40/7
1st number: 1 5/30, 2nd number: 5 5/7
35/30 + 40/7 is 289/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 7 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
35/30 = 35 × 7/30 × 7 = 245/210 - Likewise, for the 2nd fraction, since 7 × 30 = 210,
40/7 = 40 × 30/7 × 30 = 1200/210 - Add the two like fractions:
245/210 + 1200/210 = 245 + 1200/210 = 1445/210 - 1445/210 simplified gives 289/42
- So, 35/30 + 40/7 = 289/42
In mixed form: 637/42
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