Add 10/4 and 30/7, Solve 2 2/4 + 4 2/7 as a fraction

Add 10/4 and 30/7

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

10/4 + 30/7 is 95/14.

Find the least common denominator or LCM of the two denominators:
LCM of 4 and 7 is 28

Next, find the equivalent fraction of both fractional numbers with denominator 28
For the 1st fraction, since 4 × 7 = 28,
10/4 = 10 × 7/4 × 7 = 70/28
Likewise, for the 2nd fraction, since 7 × 4 = 28,
30/7 = 30 × 4/7 × 4 = 120/28
Add the two like fractions:
70/28 + 120/28 = 70 + 120/28 = 190/28
190/28 simplified gives 95/14
So, 10/4 + 30/7 = 95/14
In mixed form: 611/14

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