Add 27/45 and 70/21
1st number: 27/45, 2nd number: 3 7/21
27/45 + 70/21 is 59/15.
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,
70/21 = 70 × 15/21 × 15 = 1050/315 - Add the two like fractions:
189/315 + 1050/315 = 189 + 1050/315 = 1239/315 - 1239/315 simplified gives 59/15
- So, 27/45 + 70/21 = 59/15
In mixed form: 314/15
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