Add 10/3 and 63/40, Solve 3 1/3 + 1 23/40 as a fraction

Add 10/3 and 63/40

1^st number: 3 1/3, 2^nd number: 1 23/40

10/3 + 63/40 is 589/120.

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,
63/40 = 63 × 3/40 × 3 = 189/120
Add the two like fractions:
400/120 + 189/120 = 400 + 189/120 = 589/120
So, 10/3 + 63/40 = 589/120
In mixed form: 4109/120

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