Add 40/84 and 27/45
40/84 + 27/45 is 113/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 45 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 84 × 15 = 1260,
40/84 = 40 × 15/84 × 15 = 600/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
27/45 = 27 × 28/45 × 28 = 756/1260 - Add the two like fractions:
600/1260 + 756/1260 = 600 + 756/1260 = 1356/1260 - 1356/1260 simplified gives 113/105
- So, 40/84 + 27/45 = 113/105
In mixed form: 18/105
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