Add 36/10 and 3/84, Solve 3 6/10 + 3/84 as a fraction

Add 36/10 and 3/84

1^st number: 3 6/10, 2^nd number: 3/84

36/10 + 3/84 is 509/140.

Find the least common denominator or LCM of the two denominators:
LCM of 10 and 84 is 420

Next, find the equivalent fraction of both fractional numbers with denominator 420
For the 1st fraction, since 10 × 42 = 420,
36/10 = 36 × 42/10 × 42 = 1512/420
Likewise, for the 2nd fraction, since 84 × 5 = 420,
3/84 = 3 × 5/84 × 5 = 15/420
Add the two like fractions:
1512/420 + 15/420 = 1512 + 15/420 = 1527/420
1527/420 simplified gives 509/140
So, 36/10 + 3/84 = 509/140
In mixed form: 389/140

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