Add 3/10 and 35/42
3/10 + 35/42 is 17/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 10 × 21 = 210,
3/10 = 3 × 21/10 × 21 = 63/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
35/42 = 35 × 5/42 × 5 = 175/210 - Add the two like fractions:
63/210 + 175/210 = 63 + 175/210 = 238/210 - 238/210 simplified gives 17/15
- So, 3/10 + 35/42 = 17/15
In mixed form: 12/15
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