Add 4/15 and 98/21, Solve 4/15 + 4 14/21 as a fraction

Add 4/15 and 98/21

1^st number: 4/15, 2^nd number: 4 14/21

4/15 + 98/21 is 74/15.

Find the least common denominator or LCM of the two denominators:
LCM of 15 and 21 is 105

Next, find the equivalent fraction of both fractional numbers with denominator 105
For the 1st fraction, since 15 × 7 = 105,
4/15 = 4 × 7/15 × 7 = 28/105
Likewise, for the 2nd fraction, since 21 × 5 = 105,
98/21 = 98 × 5/21 × 5 = 490/105
Add the two like fractions:
28/105 + 490/105 = 28 + 490/105 = 518/105
518/105 simplified gives 74/15
So, 4/15 + 98/21 = 74/15
In mixed form: 414/15

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