Add 45/12 and 35/40, Solve 3 9/12 + 35/40 as a fraction

Add 45/12 and 35/40

1^st number: 3 9/12, 2^nd number: 35/40

45/12 + 35/40 is 37/8.

Find the least common denominator or LCM of the two denominators:
LCM of 12 and 40 is 120

Next, find the equivalent fraction of both fractional numbers with denominator 120
For the 1st fraction, since 12 × 10 = 120,
45/12 = 45 × 10/12 × 10 = 450/120
Likewise, for the 2nd fraction, since 40 × 3 = 120,
35/40 = 35 × 3/40 × 3 = 105/120
Add the two like fractions:
450/120 + 105/120 = 450 + 105/120 = 555/120
555/120 simplified gives 37/8
So, 45/12 + 35/40 = 37/8
In mixed form: 45/8

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