Add 40/75 and 45/84
40/75 + 45/84 is 449/420.
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,
40/75 = 40 × 28/75 × 28 = 1120/2100 - Likewise, for the 2nd fraction, since 84 × 25 = 2100,
45/84 = 45 × 25/84 × 25 = 1125/2100 - Add the two like fractions:
1120/2100 + 1125/2100 = 1120 + 1125/2100 = 2245/2100 - 2245/2100 simplified gives 449/420
- So, 40/75 + 45/84 = 449/420
In mixed form: 129/420
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