Add 27/96 and 36/45
27/96 + 36/45 is 173/160.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 45 is 1440
Next, find the equivalent fraction of both fractional numbers with denominator 1440 - For the 1st fraction, since 96 × 15 = 1440,
27/96 = 27 × 15/96 × 15 = 405/1440 - Likewise, for the 2nd fraction, since 45 × 32 = 1440,
36/45 = 36 × 32/45 × 32 = 1152/1440 - Add the two like fractions:
405/1440 + 1152/1440 = 405 + 1152/1440 = 1557/1440 - 1557/1440 simplified gives 173/160
- So, 27/96 + 36/45 = 173/160
In mixed form: 113/160
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