Add 42/96 and 40/75
42/96 + 40/75 is 233/240.
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,
42/96 = 42 × 25/96 × 25 = 1050/2400 - Likewise, for the 2nd fraction, since 75 × 32 = 2400,
40/75 = 40 × 32/75 × 32 = 1280/2400 - Add the two like fractions:
1050/2400 + 1280/2400 = 1050 + 1280/2400 = 2330/2400 - 2330/2400 simplified gives 233/240
- So, 42/96 + 40/75 = 233/240
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