Add 75/21 and 28/96
1st number: 3 12/21, 2nd number: 28/96
75/21 + 28/96 is 649/168.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 96 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 21 × 32 = 672,
75/21 = 75 × 32/21 × 32 = 2400/672 - Likewise, for the 2nd fraction, since 96 × 7 = 672,
28/96 = 28 × 7/96 × 7 = 196/672 - Add the two like fractions:
2400/672 + 196/672 = 2400 + 196/672 = 2596/672 - 2596/672 simplified gives 649/168
- So, 75/21 + 28/96 = 649/168
In mixed form: 3145/168
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