Add 27/30 and 35/14
1st number: 27/30, 2nd number: 2 7/14
27/30 + 35/14 is 17/5.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 14 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
27/30 = 27 × 7/30 × 7 = 189/210 - Likewise, for the 2nd fraction, since 14 × 15 = 210,
35/14 = 35 × 15/14 × 15 = 525/210 - Add the two like fractions:
189/210 + 525/210 = 189 + 525/210 = 714/210 - 714/210 simplified gives 17/5
- So, 27/30 + 35/14 = 17/5
In mixed form: 32/5
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