Add 40/3 and 10/84
1st number: 13 1/3, 2nd number: 10/84
40/3 + 10/84 is 565/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 84 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 3 × 28 = 84,
40/3 = 40 × 28/3 × 28 = 1120/84 - Likewise, for the 2nd fraction, since 84 × 1 = 84,
10/84 = 10 × 1/84 × 1 = 10/84 - Add the two like fractions:
1120/84 + 10/84 = 1120 + 10/84 = 1130/84 - 1130/84 simplified gives 565/42
- So, 40/3 + 10/84 = 565/42
In mixed form: 1319/42
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