Add 27/45 and 8/28
27/45 + 8/28 is 31/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 28 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 28 × 45 = 1260,
8/28 = 8 × 45/28 × 45 = 360/1260 - Add the two like fractions:
756/1260 + 360/1260 = 756 + 360/1260 = 1116/1260 - 1116/1260 simplified gives 31/35
- So, 27/45 + 8/28 = 31/35
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