Add 45/75 and 27/84
45/75 + 27/84 is 129/140.
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,
27/84 = 27 × 25/84 × 25 = 675/2100 - Add the two like fractions:
1260/2100 + 675/2100 = 1260 + 675/2100 = 1935/2100 - 1935/2100 simplified gives 129/140
- So, 45/75 + 27/84 = 129/140
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