Add 98/42 and 84/45, Solve 2 14/42 + 1 39/45 as a fraction

Add 98/42 and 84/45

1^st number: 2 14/42, 2^nd number: 1 39/45

98/42 + 84/45 is 21/5.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 45 is 630

Next, find the equivalent fraction of both fractional numbers with denominator 630
For the 1st fraction, since 42 × 15 = 630,
98/42 = 98 × 15/42 × 15 = 1470/630
Likewise, for the 2nd fraction, since 45 × 14 = 630,
84/45 = 84 × 14/45 × 14 = 1176/630
Add the two like fractions:
1470/630 + 1176/630 = 1470 + 1176/630 = 2646/630
2646/630 simplified gives 21/5
So, 98/42 + 84/45 = 21/5
In mixed form: 41/5

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