Add 49/75 and 40/96
49/75 + 40/96 is 107/100.
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,
49/75 = 49 × 32/75 × 32 = 1568/2400 - Likewise, for the 2nd fraction, since 96 × 25 = 2400,
40/96 = 40 × 25/96 × 25 = 1000/2400 - Add the two like fractions:
1568/2400 + 1000/2400 = 1568 + 1000/2400 = 2568/2400 - 2568/2400 simplified gives 107/100
- So, 49/75 + 40/96 = 107/100
In mixed form: 17/100
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