Add 40/42 and 84/20, Solve 40/42 + 4 4/20 as a fraction

Add 40/42 and 84/20

1^st number: 40/42, 2^nd number: 4 4/20

40/42 + 84/20 is 541/105.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 20 is 420

Next, find the equivalent fraction of both fractional numbers with denominator 420
For the 1st fraction, since 42 × 10 = 420,
40/42 = 40 × 10/42 × 10 = 400/420
Likewise, for the 2nd fraction, since 20 × 21 = 420,
84/20 = 84 × 21/20 × 21 = 1764/420
Add the two like fractions:
400/420 + 1764/420 = 400 + 1764/420 = 2164/420
2164/420 simplified gives 541/105
So, 40/42 + 84/20 = 541/105
In mixed form: 516/105

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