Add 3/10 and 27/42
3/10 + 27/42 is 33/35.
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,
27/42 = 27 × 5/42 × 5 = 135/210 - Add the two like fractions:
63/210 + 135/210 = 63 + 135/210 = 198/210 - 198/210 simplified gives 33/35
- So, 3/10 + 27/42 = 33/35
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