Add 10/75 and 27/96
10/75 + 27/96 is 199/480.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 96 is 2400
Next, find the equivalent fraction of both fractional numbers with denominator 2400 - For the 1st fraction, since 75 × 32 = 2400,
10/75 = 10 × 32/75 × 32 = 320/2400 - Likewise, for the 2nd fraction, since 96 × 25 = 2400,
27/96 = 27 × 25/96 × 25 = 675/2400 - Add the two like fractions:
320/2400 + 675/2400 = 320 + 675/2400 = 995/2400 - 995/2400 simplified gives 199/480
- So, 10/75 + 27/96 = 199/480
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