Add 27/45 and 45/84
27/45 + 45/84 is 159/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 84 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 45 × 28 = 1260,
27/45 = 27 × 28/45 × 28 = 756/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
45/84 = 45 × 15/84 × 15 = 675/1260 - Add the two like fractions:
756/1260 + 675/1260 = 756 + 675/1260 = 1431/1260 - 1431/1260 simplified gives 159/140
- So, 27/45 + 45/84 = 159/140
In mixed form: 119/140
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