Add 10/30 and 75/42, Solve 10/30 + 1 33/42 as a fraction

Add 10/30 and 75/42

1^st number: 10/30, 2^nd number: 1 33/42

10/30 + 75/42 is 89/42.

Find the least common denominator or LCM of the two denominators:
LCM of 30 and 42 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 30 × 7 = 210,
10/30 = 10 × 7/30 × 7 = 70/210
Likewise, for the 2nd fraction, since 42 × 5 = 210,
75/42 = 75 × 5/42 × 5 = 375/210
Add the two like fractions:
70/210 + 375/210 = 70 + 375/210 = 445/210
445/210 simplified gives 89/42
So, 10/30 + 75/42 = 89/42
In mixed form: 25/42

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