Add 10/75 and 42/4, Solve 10/75 + 10 2/4 as a fraction

Add 10/75 and 42/4

1^st number: 10/75, 2^nd number: 10 2/4

10/75 + 42/4 is 319/30.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 4 is 300

Next, find the equivalent fraction of both fractional numbers with denominator 300
For the 1st fraction, since 75 × 4 = 300,
10/75 = 10 × 4/75 × 4 = 40/300
Likewise, for the 2nd fraction, since 4 × 75 = 300,
42/4 = 42 × 75/4 × 75 = 3150/300
Add the two like fractions:
40/300 + 3150/300 = 40 + 3150/300 = 3190/300
3190/300 simplified gives 319/30
So, 10/75 + 42/4 = 319/30
In mixed form: 1019/30

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