Add 14/15 and 30/42
14/15 + 30/42 is 173/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 15 × 14 = 210,
14/15 = 14 × 14/15 × 14 = 196/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
30/42 = 30 × 5/42 × 5 = 150/210 - Add the two like fractions:
196/210 + 150/210 = 196 + 150/210 = 346/210 - 346/210 simplified gives 173/105
- So, 14/15 + 30/42 = 173/105
In mixed form: 168/105
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