Add 42/5 and 24/21, Solve 8 2/5 + 1 3/21 as a fraction

Add 42/5 and 24/21

1^st number: 8 2/5, 2^nd number: 1 3/21

42/5 + 24/21 is 334/35.

Find the least common denominator or LCM of the two denominators:
LCM of 5 and 21 is 105

Next, find the equivalent fraction of both fractional numbers with denominator 105
For the 1st fraction, since 5 × 21 = 105,
42/5 = 42 × 21/5 × 21 = 882/105
Likewise, for the 2nd fraction, since 21 × 5 = 105,
24/21 = 24 × 5/21 × 5 = 120/105
Add the two like fractions:
882/105 + 120/105 = 882 + 120/105 = 1002/105
1002/105 simplified gives 334/35
So, 42/5 + 24/21 = 334/35
In mixed form: 919/35

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