Add 40/84 and 28/75
40/84 + 28/75 is 446/525.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 75 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 84 × 25 = 2100,
40/84 = 40 × 25/84 × 25 = 1000/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
28/75 = 28 × 28/75 × 28 = 784/2100 - Add the two like fractions:
1000/2100 + 784/2100 = 1000 + 784/2100 = 1784/2100 - 1784/2100 simplified gives 446/525
- So, 40/84 + 28/75 = 446/525
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