Add 27/84 and 40/45
27/84 + 40/45 is 305/252.
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,
27/84 = 27 × 15/84 × 15 = 405/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
40/45 = 40 × 28/45 × 28 = 1120/1260 - Add the two like fractions:
405/1260 + 1120/1260 = 405 + 1120/1260 = 1525/1260 - 1525/1260 simplified gives 305/252
- So, 27/84 + 40/45 = 305/252
In mixed form: 153/252
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