Add 27/45 and 2/7
27/45 + 2/7 is 31/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 7 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
27/45 = 27 × 7/45 × 7 = 189/315 - Likewise, for the 2nd fraction, since 7 × 45 = 315,
2/7 = 2 × 45/7 × 45 = 90/315 - Add the two like fractions:
189/315 + 90/315 = 189 + 90/315 = 279/315 - 279/315 simplified gives 31/35
- So, 27/45 + 2/7 = 31/35
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