Add 45/84 and 81/32
1st number: 45/84, 2nd number: 2 17/32
45/84 + 81/32 is 687/224.
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,
45/84 = 45 × 8/84 × 8 = 360/672 - Likewise, for the 2nd fraction, since 32 × 21 = 672,
81/32 = 81 × 21/32 × 21 = 1701/672 - Add the two like fractions:
360/672 + 1701/672 = 360 + 1701/672 = 2061/672 - 2061/672 simplified gives 687/224
- So, 45/84 + 81/32 = 687/224
In mixed form: 315/224
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