Add 27/45 and 10/21
27/45 + 10/21 is 113/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 21 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 21 × 15 = 315,
10/21 = 10 × 15/21 × 15 = 150/315 - Add the two like fractions:
189/315 + 150/315 = 189 + 150/315 = 339/315 - 339/315 simplified gives 113/105
- So, 27/45 + 10/21 = 113/105
In mixed form: 18/105
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