Add 21/24 and 49/56
21/24 + 49/56 is 7/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 56 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 24 × 7 = 168,
21/24 = 21 × 7/24 × 7 = 147/168 - Likewise, for the 2nd fraction, since 56 × 3 = 168,
49/56 = 49 × 3/56 × 3 = 147/168 - Add the two like fractions:
147/168 + 147/168 = 147 + 147/168 = 294/168 - 294/168 simplified gives 7/4
- So, 21/24 + 49/56 = 7/4
In mixed form: 13/4
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