Add 10/15 and 27/32
10/15 + 27/32 is 145/96.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 32 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 15 × 32 = 480,
10/15 = 10 × 32/15 × 32 = 320/480 - Likewise, for the 2nd fraction, since 32 × 15 = 480,
27/32 = 27 × 15/32 × 15 = 405/480 - Add the two like fractions:
320/480 + 405/480 = 320 + 405/480 = 725/480 - 725/480 simplified gives 145/96
- So, 10/15 + 27/32 = 145/96
In mixed form: 149/96
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