Add 27/30 and 16/35
27/30 + 16/35 is 19/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 35 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 35 × 6 = 210,
16/35 = 16 × 6/35 × 6 = 96/210 - Add the two like fractions:
189/210 + 96/210 = 189 + 96/210 = 285/210 - 285/210 simplified gives 19/14
- So, 27/30 + 16/35 = 19/14
In mixed form: 15/14
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