Add 40/12 and 98/84, Solve 3 4/12 + 1 14/84 as a fraction

Add 40/12 and 98/84

1^st number: 3 4/12, 2^nd number: 1 14/84

40/12 + 98/84 is 9/2.

Find the least common denominator or LCM of the two denominators:
LCM of 12 and 84 is 84

Next, find the equivalent fraction of both fractional numbers with denominator 84
For the 1st fraction, since 12 × 7 = 84,
40/12 = 40 × 7/12 × 7 = 280/84
Likewise, for the 2nd fraction, since 84 × 1 = 84,
98/84 = 98 × 1/84 × 1 = 98/84
Add the two like fractions:
280/84 + 98/84 = 280 + 98/84 = 378/84
378/84 simplified gives 9/2
So, 40/12 + 98/84 = 9/2
In mixed form: 41/2

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