Add 27/96 and 84/45
1st number: 27/96, 2nd number: 1 39/45
27/96 + 84/45 is 1031/480.
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,
84/45 = 84 × 32/45 × 32 = 2688/1440 - Add the two like fractions:
405/1440 + 2688/1440 = 405 + 2688/1440 = 3093/1440 - 3093/1440 simplified gives 1031/480
- So, 27/96 + 84/45 = 1031/480
In mixed form: 271/480
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