Add 42/3 and 40/7
1st number: 14 0/3, 2nd number: 5 5/7
42/3 + 40/7 is 138/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 7 is 21
Next, find the equivalent fraction of both fractional numbers with denominator 21 - For the 1st fraction, since 3 × 7 = 21,
42/3 = 42 × 7/3 × 7 = 294/21 - Likewise, for the 2nd fraction, since 7 × 3 = 21,
40/7 = 40 × 3/7 × 3 = 120/21 - Add the two like fractions:
294/21 + 120/21 = 294 + 120/21 = 414/21 - 414/21 simplified gives 138/7
- So, 42/3 + 40/7 = 138/7
In mixed form: 195/7
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