Add 30/7 and 21/30, Solve 4 2/7 + 21/30 as a fraction

Add 30/7 and 21/30

1^st number: 4 2/7, 2^nd number: 21/30

30/7 + 21/30 is 349/70.

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,
30/7 = 30 × 30/7 × 30 = 900/210
Likewise, for the 2nd fraction, since 30 × 7 = 210,
21/30 = 21 × 7/30 × 7 = 147/210
Add the two like fractions:
900/210 + 147/210 = 900 + 147/210 = 1047/210
1047/210 simplified gives 349/70
So, 30/7 + 21/30 = 349/70
In mixed form: 469/70

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