Add 30/40 and 27/14
1st number: 30/40, 2nd number: 1 13/14
30/40 + 27/14 is 75/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 14 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
30/40 = 30 × 7/40 × 7 = 210/280 - Likewise, for the 2nd fraction, since 14 × 20 = 280,
27/14 = 27 × 20/14 × 20 = 540/280 - Add the two like fractions:
210/280 + 540/280 = 210 + 540/280 = 750/280 - 750/280 simplified gives 75/28
- So, 30/40 + 27/14 = 75/28
In mixed form: 219/28
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