Add 75/8 and 40/42
1st number: 9 3/8, 2nd number: 40/42
75/8 + 40/42 is 1735/168.
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,
40/42 = 40 × 4/42 × 4 = 160/168 - Add the two like fractions:
1575/168 + 160/168 = 1575 + 160/168 = 1735/168 - So, 75/8 + 40/42 = 1735/168
In mixed form: 1055/168
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