Add 42/90 and 75/42, Solve 42/90 + 1 33/42 as a fraction

Add 42/90 and 75/42

1^st number: 42/90, 2^nd number: 1 33/42

42/90 + 75/42 is 473/210.

Find the least common denominator or LCM of the two denominators:
LCM of 90 and 42 is 630

Next, find the equivalent fraction of both fractional numbers with denominator 630
For the 1st fraction, since 90 × 7 = 630,
42/90 = 42 × 7/90 × 7 = 294/630
Likewise, for the 2nd fraction, since 42 × 15 = 630,
75/42 = 75 × 15/42 × 15 = 1125/630
Add the two like fractions:
294/630 + 1125/630 = 294 + 1125/630 = 1419/630
1419/630 simplified gives 473/210
So, 42/90 + 75/42 = 473/210
In mixed form: 253/210

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