Add 75/7 and 10/30, Solve 10 5/7 + 10/30 as a fraction

Add 75/7 and 10/30

1^st number: 10 5/7, 2^nd number: 10/30

75/7 + 10/30 is 232/21.

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,
10/30 = 10 × 7/30 × 7 = 70/210
Add the two like fractions:
2250/210 + 70/210 = 2250 + 70/210 = 2320/210
2320/210 simplified gives 232/21
So, 75/7 + 10/30 = 232/21
In mixed form: 111/21

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