Add 30/40 and 27/96
30/40 + 27/96 is 33/32.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 96 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 40 × 12 = 480,
30/40 = 30 × 12/40 × 12 = 360/480 - Likewise, for the 2nd fraction, since 96 × 5 = 480,
27/96 = 27 × 5/96 × 5 = 135/480 - Add the two like fractions:
360/480 + 135/480 = 360 + 135/480 = 495/480 - 495/480 simplified gives 33/32
- So, 30/40 + 27/96 = 33/32
In mixed form: 11/32
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