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

Add 75/32 and 30/42

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

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

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

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

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