Add 72/98 and 40/9, Solve 72/98 + 4 4/9 as a fraction

Add 72/98 and 40/9

1^st number: 72/98, 2^nd number: 4 4/9

72/98 + 40/9 is 2284/441.

Find the least common denominator or LCM of the two denominators:
LCM of 98 and 9 is 882

Next, find the equivalent fraction of both fractional numbers with denominator 882
For the 1st fraction, since 98 × 9 = 882,
72/98 = 72 × 9/98 × 9 = 648/882
Likewise, for the 2nd fraction, since 9 × 98 = 882,
40/9 = 40 × 98/9 × 98 = 3920/882
Add the two like fractions:
648/882 + 3920/882 = 648 + 3920/882 = 4568/882
4568/882 simplified gives 2284/441
So, 72/98 + 40/9 = 2284/441
In mixed form: 579/441

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