Add 75/7 and 35/30
1st number: 10 5/7, 2nd number: 1 5/30
75/7 + 35/30 is 499/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 7 × 30 = 210,
75/7 = 75 × 30/7 × 30 = 2250/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
35/30 = 35 × 7/30 × 7 = 245/210 - Add the two like fractions:
2250/210 + 245/210 = 2250 + 245/210 = 2495/210 - 2495/210 simplified gives 499/42
- So, 75/7 + 35/30 = 499/42
In mixed form: 1137/42
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