Add 30/20 and 75/42, Solve 1 10/20 + 1 33/42 as a fraction

Add 30/20 and 75/42

1^st number: 1 10/20, 2^nd number: 1 33/42

30/20 + 75/42 is 23/7.

Find the least common denominator or LCM of the two denominators:
LCM of 20 and 42 is 420

Next, find the equivalent fraction of both fractional numbers with denominator 420
For the 1st fraction, since 20 × 21 = 420,
30/20 = 30 × 21/20 × 21 = 630/420
Likewise, for the 2nd fraction, since 42 × 10 = 420,
75/42 = 75 × 10/42 × 10 = 750/420
Add the two like fractions:
630/420 + 750/420 = 630 + 750/420 = 1380/420
1380/420 simplified gives 23/7
So, 30/20 + 75/42 = 23/7
In mixed form: 32/7

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