Add 10/35 and 21/42
10/35 + 21/42 is 11/14.
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,
10/35 = 10 × 6/35 × 6 = 60/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
21/42 = 21 × 5/42 × 5 = 105/210 - Add the two like fractions:
60/210 + 105/210 = 60 + 105/210 = 165/210 - 165/210 simplified gives 11/14
- So, 10/35 + 21/42 = 11/14
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