Add 10/3 and 30/40, Solve 3 1/3 + 30/40 as a fraction

Add 10/3 and 30/40

1^st number: 3 1/3, 2^nd number: 30/40

10/3 + 30/40 is 49/12.

Find the least common denominator or LCM of the two denominators:
LCM of 3 and 40 is 120

Next, find the equivalent fraction of both fractional numbers with denominator 120
For the 1st fraction, since 3 × 40 = 120,
10/3 = 10 × 40/3 × 40 = 400/120
Likewise, for the 2nd fraction, since 40 × 3 = 120,
30/40 = 30 × 3/40 × 3 = 90/120
Add the two like fractions:
400/120 + 90/120 = 400 + 90/120 = 490/120
490/120 simplified gives 49/12
So, 10/3 + 30/40 = 49/12
In mixed form: 41/12

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