Add 10/45 and 98/21, Solve 10/45 + 4 14/21 as a fraction

Add 10/45 and 98/21

1^st number: 10/45, 2^nd number: 4 14/21

10/45 + 98/21 is 44/9.

Find the least common denominator or LCM of the two denominators:
LCM of 45 and 21 is 315

Next, find the equivalent fraction of both fractional numbers with denominator 315
For the 1st fraction, since 45 × 7 = 315,
10/45 = 10 × 7/45 × 7 = 70/315
Likewise, for the 2nd fraction, since 21 × 15 = 315,
98/21 = 98 × 15/21 × 15 = 1470/315
Add the two like fractions:
70/315 + 1470/315 = 70 + 1470/315 = 1540/315
1540/315 simplified gives 44/9
So, 10/45 + 98/21 = 44/9
In mixed form: 48/9

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