Add 48/75 and 40/96
48/75 + 40/96 is 317/300.
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,
48/75 = 48 × 32/75 × 32 = 1536/2400 - Likewise, for the 2nd fraction, since 96 × 25 = 2400,
40/96 = 40 × 25/96 × 25 = 1000/2400 - Add the two like fractions:
1536/2400 + 1000/2400 = 1536 + 1000/2400 = 2536/2400 - 2536/2400 simplified gives 317/300
- So, 48/75 + 40/96 = 317/300
In mixed form: 117/300
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