Add 5/8 and 28/42
5/8 + 28/42 is 31/24.
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,
5/8 = 5 × 21/8 × 21 = 105/168 - Likewise, for the 2nd fraction, since 42 × 4 = 168,
28/42 = 28 × 4/42 × 4 = 112/168 - Add the two like fractions:
105/168 + 112/168 = 105 + 112/168 = 217/168 - 217/168 simplified gives 31/24
- So, 5/8 + 28/42 = 31/24
In mixed form: 17/24
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