Add 21/8 and 45/84
1st number: 2 5/8, 2nd number: 45/84
21/8 + 45/84 is 177/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 84 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 84 × 2 = 168,
45/84 = 45 × 2/84 × 2 = 90/168 - Add the two like fractions:
441/168 + 90/168 = 441 + 90/168 = 531/168 - 531/168 simplified gives 177/56
- So, 21/8 + 45/84 = 177/56
In mixed form: 39/56
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