Add 14/35 and 35/42
14/35 + 35/42 is 37/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 35 × 6 = 210,
14/35 = 14 × 6/35 × 6 = 84/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
35/42 = 35 × 5/42 × 5 = 175/210 - Add the two like fractions:
84/210 + 175/210 = 84 + 175/210 = 259/210 - 259/210 simplified gives 37/30
- So, 14/35 + 35/42 = 37/30
In mixed form: 17/30
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