Add 10/30 and 24/35
10/30 + 24/35 is 107/105.
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,
10/30 = 10 × 7/30 × 7 = 70/210 - Likewise, for the 2nd fraction, since 35 × 6 = 210,
24/35 = 24 × 6/35 × 6 = 144/210 - Add the two like fractions:
70/210 + 144/210 = 70 + 144/210 = 214/210 - 214/210 simplified gives 107/105
- So, 10/30 + 24/35 = 107/105
In mixed form: 12/105
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