Add 21/42 and 30/35
21/42 + 30/35 is 19/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 35 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 42 × 5 = 210,
21/42 = 21 × 5/42 × 5 = 105/210 - Likewise, for the 2nd fraction, since 35 × 6 = 210,
30/35 = 30 × 6/35 × 6 = 180/210 - Add the two like fractions:
105/210 + 180/210 = 105 + 180/210 = 285/210 - 285/210 simplified gives 19/14
- So, 21/42 + 30/35 = 19/14
In mixed form: 15/14
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