Add 30/84 and 75/8
1st number: 30/84, 2nd number: 9 3/8
30/84 + 75/8 is 545/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 8 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 84 × 2 = 168,
30/84 = 30 × 2/84 × 2 = 60/168 - Likewise, for the 2nd fraction, since 8 × 21 = 168,
75/8 = 75 × 21/8 × 21 = 1575/168 - Add the two like fractions:
60/168 + 1575/168 = 60 + 1575/168 = 1635/168 - 1635/168 simplified gives 545/56
- So, 30/84 + 75/8 = 545/56
In mixed form: 941/56
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