Add 27/45 and 4/7
27/45 + 4/7 is 41/35.
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,
4/7 = 4 × 45/7 × 45 = 180/315 - Add the two like fractions:
189/315 + 180/315 = 189 + 180/315 = 369/315 - 369/315 simplified gives 41/35
- So, 27/45 + 4/7 = 41/35
In mixed form: 16/35
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