Add 20/30 and 9/14
20/30 + 9/14 is 55/42.
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,
20/30 = 20 × 7/30 × 7 = 140/210 - Likewise, for the 2nd fraction, since 14 × 15 = 210,
9/14 = 9 × 15/14 × 15 = 135/210 - Add the two like fractions:
140/210 + 135/210 = 140 + 135/210 = 275/210 - 275/210 simplified gives 55/42
- So, 20/30 + 9/14 = 55/42
In mixed form: 113/42
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