Add 75/84 and 21/56
75/84 + 21/56 is 71/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 56 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 84 × 2 = 168,
75/84 = 75 × 2/84 × 2 = 150/168 - Likewise, for the 2nd fraction, since 56 × 3 = 168,
21/56 = 21 × 3/56 × 3 = 63/168 - Add the two like fractions:
150/168 + 63/168 = 150 + 63/168 = 213/168 - 213/168 simplified gives 71/56
- So, 75/84 + 21/56 = 71/56
In mixed form: 115/56
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