Add 75/84 and 27/32
75/84 + 27/32 is 389/224.
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,
75/84 = 75 × 8/84 × 8 = 600/672 - Likewise, for the 2nd fraction, since 32 × 21 = 672,
27/32 = 27 × 21/32 × 21 = 567/672 - Add the two like fractions:
600/672 + 567/672 = 600 + 567/672 = 1167/672 - 1167/672 simplified gives 389/224
- So, 75/84 + 27/32 = 389/224
In mixed form: 1165/224
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