Add 45/12 and 27/32
1st number: 3 9/12, 2nd number: 27/32
45/12 + 27/32 is 147/32.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 32 is 96
Next, find the equivalent fraction of both fractional numbers with denominator 96 - For the 1st fraction, since 12 × 8 = 96,
45/12 = 45 × 8/12 × 8 = 360/96 - Likewise, for the 2nd fraction, since 32 × 3 = 96,
27/32 = 27 × 3/32 × 3 = 81/96 - Add the two like fractions:
360/96 + 81/96 = 360 + 81/96 = 441/96 - 441/96 simplified gives 147/32
- So, 45/12 + 27/32 = 147/32
In mixed form: 419/32
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