Add 35/3 and 15/40, Solve 11 2/3 + 15/40 as a fraction

Add 35/3 and 15/40

1^st number: 11 2/3, 2^nd number: 15/40

35/3 + 15/40 is 289/24.

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,
35/3 = 35 × 40/3 × 40 = 1400/120
Likewise, for the 2nd fraction, since 40 × 3 = 120,
15/40 = 15 × 3/40 × 3 = 45/120
Add the two like fractions:
1400/120 + 45/120 = 1400 + 45/120 = 1445/120
1445/120 simplified gives 289/24
So, 35/3 + 15/40 = 289/24
In mixed form: 121/24

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