Add 30/96 and 8/75
30/96 + 8/75 is 503/1200.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 75 is 2400
Next, find the equivalent fraction of both fractional numbers with denominator 2400 - For the 1st fraction, since 96 × 25 = 2400,
30/96 = 30 × 25/96 × 25 = 750/2400 - Likewise, for the 2nd fraction, since 75 × 32 = 2400,
8/75 = 8 × 32/75 × 32 = 256/2400 - Add the two like fractions:
750/2400 + 256/2400 = 750 + 256/2400 = 1006/2400 - 1006/2400 simplified gives 503/1200
- So, 30/96 + 8/75 = 503/1200
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