Add 35/84 and 75/32
1st number: 35/84, 2nd number: 2 11/32
35/84 + 75/32 is 265/96.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 32 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 84 × 8 = 672,
35/84 = 35 × 8/84 × 8 = 280/672 - Likewise, for the 2nd fraction, since 32 × 21 = 672,
75/32 = 75 × 21/32 × 21 = 1575/672 - Add the two like fractions:
280/672 + 1575/672 = 280 + 1575/672 = 1855/672 - 1855/672 simplified gives 265/96
- So, 35/84 + 75/32 = 265/96
In mixed form: 273/96
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