Add 21/8 and 36/42
1st number: 2 5/8, 2nd number: 36/42
21/8 + 36/42 is 195/56.
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,
21/8 = 21 × 21/8 × 21 = 441/168 - Likewise, for the 2nd fraction, since 42 × 4 = 168,
36/42 = 36 × 4/42 × 4 = 144/168 - Add the two like fractions:
441/168 + 144/168 = 441 + 144/168 = 585/168 - 585/168 simplified gives 195/56
- So, 21/8 + 36/42 = 195/56
In mixed form: 327/56
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