Add 14/30 and 24/35
14/30 + 24/35 is 121/105.
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,
14/30 = 14 × 7/30 × 7 = 98/210 - Likewise, for the 2nd fraction, since 35 × 6 = 210,
24/35 = 24 × 6/35 × 6 = 144/210 - Add the two like fractions:
98/210 + 144/210 = 98 + 144/210 = 242/210 - 242/210 simplified gives 121/105
- So, 14/30 + 24/35 = 121/105
In mixed form: 116/105
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