Add 75/8 and 30/84, Solve 9 3/8 + 30/84 as a fraction

Add 75/8 and 30/84

1^st number: 9 3/8, 2^nd number: 30/84

75/8 + 30/84 is 545/56.

Find the least common denominator or LCM of the two denominators:
LCM of 8 and 84 is 168

Next, find the equivalent fraction of both fractional numbers with denominator 168
For the 1st fraction, since 8 × 21 = 168,
75/8 = 75 × 21/8 × 21 = 1575/168
Likewise, for the 2nd fraction, since 84 × 2 = 168,
30/84 = 30 × 2/84 × 2 = 60/168
Add the two like fractions:
1575/168 + 60/168 = 1575 + 60/168 = 1635/168
1635/168 simplified gives 545/56
So, 75/8 + 30/84 = 545/56
In mixed form: 941/56

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