Add 10/14 and 30/40
10/14 + 30/40 is 41/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 14 × 20 = 280,
10/14 = 10 × 20/14 × 20 = 200/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
30/40 = 30 × 7/40 × 7 = 210/280 - Add the two like fractions:
200/280 + 210/280 = 200 + 210/280 = 410/280 - 410/280 simplified gives 41/28
- So, 10/14 + 30/40 = 41/28
In mixed form: 113/28
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