Add 27/45 and 30/7
1st number: 27/45, 2nd number: 4 2/7
27/45 + 30/7 is 171/35.
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,
30/7 = 30 × 45/7 × 45 = 1350/315 - Add the two like fractions:
189/315 + 1350/315 = 189 + 1350/315 = 1539/315 - 1539/315 simplified gives 171/35
- So, 27/45 + 30/7 = 171/35
In mixed form: 431/35
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