Add 6/30 and 75/7, Solve 6/30 + 10 5/7 as a fraction

Add 6/30 and 75/7

1^st number: 6/30, 2^nd number: 10 5/7

6/30 + 75/7 is 382/35.

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,
6/30 = 6 × 7/30 × 7 = 42/210
Likewise, for the 2nd fraction, since 7 × 30 = 210,
75/7 = 75 × 30/7 × 30 = 2250/210
Add the two like fractions:
42/210 + 2250/210 = 42 + 2250/210 = 2292/210
2292/210 simplified gives 382/35
So, 6/30 + 75/7 = 382/35
In mixed form: 1032/35

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