Add 84/96 and 40/75
84/96 + 40/75 is 169/120.
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,
84/96 = 84 × 25/96 × 25 = 2100/2400 - Likewise, for the 2nd fraction, since 75 × 32 = 2400,
40/75 = 40 × 32/75 × 32 = 1280/2400 - Add the two like fractions:
2100/2400 + 1280/2400 = 2100 + 1280/2400 = 3380/2400 - 3380/2400 simplified gives 169/120
- So, 84/96 + 40/75 = 169/120
In mixed form: 149/120
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