Add 84/5 and 36/42, Solve 16 4/5 + 36/42 as a fraction

Add 84/5 and 36/42

1^st number: 16 4/5, 2^nd number: 36/42

84/5 + 36/42 is 618/35.

Find the least common denominator or LCM of the two denominators:
LCM of 5 and 42 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 5 × 42 = 210,
84/5 = 84 × 42/5 × 42 = 3528/210
Likewise, for the 2nd fraction, since 42 × 5 = 210,
36/42 = 36 × 5/42 × 5 = 180/210
Add the two like fractions:
3528/210 + 180/210 = 3528 + 180/210 = 3708/210
3708/210 simplified gives 618/35
So, 84/5 + 36/42 = 618/35
In mixed form: 1723/35

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