Add 45/75 and 40/84
45/75 + 40/84 is 113/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 84 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 75 × 28 = 2100,
45/75 = 45 × 28/75 × 28 = 1260/2100 - Likewise, for the 2nd fraction, since 84 × 25 = 2100,
40/84 = 40 × 25/84 × 25 = 1000/2100 - Add the two like fractions:
1260/2100 + 1000/2100 = 1260 + 1000/2100 = 2260/2100 - 2260/2100 simplified gives 113/105
- So, 45/75 + 40/84 = 113/105
In mixed form: 18/105
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