Add 75/96 and 27/40
75/96 + 27/40 is 233/160.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 40 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 96 × 5 = 480,
75/96 = 75 × 5/96 × 5 = 375/480 - Likewise, for the 2nd fraction, since 40 × 12 = 480,
27/40 = 27 × 12/40 × 12 = 324/480 - Add the two like fractions:
375/480 + 324/480 = 375 + 324/480 = 699/480 - 699/480 simplified gives 233/160
- So, 75/96 + 27/40 = 233/160
In mixed form: 173/160
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