Add 36/45 and 27/84
36/45 + 27/84 is 157/140.
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,
36/45 = 36 × 28/45 × 28 = 1008/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
27/84 = 27 × 15/84 × 15 = 405/1260 - Add the two like fractions:
1008/1260 + 405/1260 = 1008 + 405/1260 = 1413/1260 - 1413/1260 simplified gives 157/140
- So, 36/45 + 27/84 = 157/140
In mixed form: 117/140
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