Add 14/5 and 40/42
1st number: 2 4/5, 2nd number: 40/42
14/5 + 40/42 is 394/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 5 × 42 = 210,
14/5 = 14 × 42/5 × 42 = 588/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
40/42 = 40 × 5/42 × 5 = 200/210 - Add the two like fractions:
588/210 + 200/210 = 588 + 200/210 = 788/210 - 788/210 simplified gives 394/105
- So, 14/5 + 40/42 = 394/105
In mixed form: 379/105
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