Add 35/42 and 75/8
1st number: 35/42, 2nd number: 9 3/8
35/42 + 75/8 is 245/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 8 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 42 × 4 = 168,
35/42 = 35 × 4/42 × 4 = 140/168 - Likewise, for the 2nd fraction, since 8 × 21 = 168,
75/8 = 75 × 21/8 × 21 = 1575/168 - Add the two like fractions:
140/168 + 1575/168 = 140 + 1575/168 = 1715/168 - 1715/168 simplified gives 245/24
- So, 35/42 + 75/8 = 245/24
In mixed form: 105/24
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