Add 98/45 and 84/63, Solve 2 8/45 + 1 21/63 as a fraction

Add 98/45 and 84/63

1^st number: 2 8/45, 2^nd number: 1 21/63

98/45 + 84/63 is 158/45.

Find the least common denominator or LCM of the two denominators:
LCM of 45 and 63 is 315

Next, find the equivalent fraction of both fractional numbers with denominator 315
For the 1st fraction, since 45 × 7 = 315,
98/45 = 98 × 7/45 × 7 = 686/315
Likewise, for the 2nd fraction, since 63 × 5 = 315,
84/63 = 84 × 5/63 × 5 = 420/315
Add the two like fractions:
686/315 + 420/315 = 686 + 420/315 = 1106/315
1106/315 simplified gives 158/45
So, 98/45 + 84/63 = 158/45
In mixed form: 323/45

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