Add 21/30 and 18/35
21/30 + 18/35 is 17/14.
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,
21/30 = 21 × 7/30 × 7 = 147/210 - Likewise, for the 2nd fraction, since 35 × 6 = 210,
18/35 = 18 × 6/35 × 6 = 108/210 - Add the two like fractions:
147/210 + 108/210 = 147 + 108/210 = 255/210 - 255/210 simplified gives 17/14
- So, 21/30 + 18/35 = 17/14
In mixed form: 13/14
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