Add 7/2 and 42/45, Solve 3 1/2 + 42/45 as a fraction

Add 7/2 and 42/45

1^st number: 3 1/2, 2^nd number: 42/45

7/2 + 42/45 is 133/30.

Find the least common denominator or LCM of the two denominators:
LCM of 2 and 45 is 90

Next, find the equivalent fraction of both fractional numbers with denominator 90
For the 1st fraction, since 2 × 45 = 90,
7/2 = 7 × 45/2 × 45 = 315/90
Likewise, for the 2nd fraction, since 45 × 2 = 90,
42/45 = 42 × 2/45 × 2 = 84/90
Add the two like fractions:
315/90 + 84/90 = 315 + 84/90 = 399/90
399/90 simplified gives 133/30
So, 7/2 + 42/45 = 133/30
In mixed form: 413/30

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