Add 10/84 and 40/3, Solve 10/84 + 13 1/3 as a fraction

Add 10/84 and 40/3

1^st number: 10/84, 2^nd number: 13 1/3

10/84 + 40/3 is 565/42.

Find the least common denominator or LCM of the two denominators:
LCM of 84 and 3 is 84

Next, find the equivalent fraction of both fractional numbers with denominator 84
For the 1st fraction, since 84 × 1 = 84,
10/84 = 10 × 1/84 × 1 = 10/84
Likewise, for the 2nd fraction, since 3 × 28 = 84,
40/3 = 40 × 28/3 × 28 = 1120/84
Add the two like fractions:
10/84 + 1120/84 = 10 + 1120/84 = 1130/84
1130/84 simplified gives 565/42
So, 10/84 + 40/3 = 565/42
In mixed form: 1319/42

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