Add 40/3 and 45/10, Solve 13 1/3 + 4 5/10 as a fraction

Add 40/3 and 45/10

1^st number: 13 1/3, 2^nd number: 4 5/10

40/3 + 45/10 is 107/6.

Find the least common denominator or LCM of the two denominators:
LCM of 3 and 10 is 30

Next, find the equivalent fraction of both fractional numbers with denominator 30
For the 1st fraction, since 3 × 10 = 30,
40/3 = 40 × 10/3 × 10 = 400/30
Likewise, for the 2nd fraction, since 10 × 3 = 30,
45/10 = 45 × 3/10 × 3 = 135/30
Add the two like fractions:
400/30 + 135/30 = 400 + 135/30 = 535/30
535/30 simplified gives 107/6
So, 40/3 + 45/10 = 107/6
In mixed form: 175/6

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