Add 40/30 and 27/14
1st number: 1 10/30, 2nd number: 1 13/14
40/30 + 27/14 is 137/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 14 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
40/30 = 40 × 7/30 × 7 = 280/210 - Likewise, for the 2nd fraction, since 14 × 15 = 210,
27/14 = 27 × 15/14 × 15 = 405/210 - Add the two like fractions:
280/210 + 405/210 = 280 + 405/210 = 685/210 - 685/210 simplified gives 137/42
- So, 40/30 + 27/14 = 137/42
In mixed form: 311/42
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