Add 75/8 and 30/42
1st number: 9 3/8, 2nd number: 30/42
75/8 + 30/42 is 565/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 42 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 42 × 4 = 168,
30/42 = 30 × 4/42 × 4 = 120/168 - Add the two like fractions:
1575/168 + 120/168 = 1575 + 120/168 = 1695/168 - 1695/168 simplified gives 565/56
- So, 75/8 + 30/42 = 565/56
In mixed form: 105/56
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