Add 10/84 and 70/10, Solve 10/84 + 7 0/10 as a fraction

Add 10/84 and 70/10

1^st number: 10/84, 2^nd number: 7 0/10

10/84 + 70/10 is 299/42.

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

Next, find the equivalent fraction of both fractional numbers with denominator 420
For the 1st fraction, since 84 × 5 = 420,
10/84 = 10 × 5/84 × 5 = 50/420
Likewise, for the 2nd fraction, since 10 × 42 = 420,
70/10 = 70 × 42/10 × 42 = 2940/420
Add the two like fractions:
50/420 + 2940/420 = 50 + 2940/420 = 2990/420
2990/420 simplified gives 299/42
So, 10/84 + 70/10 = 299/42
In mixed form: 75/42

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