Add 30/42 and 75/32, Solve 30/42 + 2 11/32 as a fraction

Add 30/42 and 75/32

1^st number: 30/42, 2^nd number: 2 11/32

30/42 + 75/32 is 685/224.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 32 is 672

Next, find the equivalent fraction of both fractional numbers with denominator 672
For the 1st fraction, since 42 × 16 = 672,
30/42 = 30 × 16/42 × 16 = 480/672
Likewise, for the 2nd fraction, since 32 × 21 = 672,
75/32 = 75 × 21/32 × 21 = 1575/672
Add the two like fractions:
480/672 + 1575/672 = 480 + 1575/672 = 2055/672
2055/672 simplified gives 685/224
So, 30/42 + 75/32 = 685/224
In mixed form: 313/224

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