Add 40/3 and 49/14
1st number: 13 1/3, 2nd number: 3 7/14
40/3 + 49/14 is 101/6.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 14 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 3 × 14 = 42,
40/3 = 40 × 14/3 × 14 = 560/42 - Likewise, for the 2nd fraction, since 14 × 3 = 42,
49/14 = 49 × 3/14 × 3 = 147/42 - Add the two like fractions:
560/42 + 147/42 = 560 + 147/42 = 707/42 - 707/42 simplified gives 101/6
- So, 40/3 + 49/14 = 101/6
In mixed form: 165/6
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