Add 98/21 and 49/5, Solve 4 14/21 + 9 4/5 as a fraction

Add 98/21 and 49/5

1^st number: 4 14/21, 2^nd number: 9 4/5

98/21 + 49/5 is 217/15.

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 5 is 105

Next, find the equivalent fraction of both fractional numbers with denominator 105
For the 1st fraction, since 21 × 5 = 105,
98/21 = 98 × 5/21 × 5 = 490/105
Likewise, for the 2nd fraction, since 5 × 21 = 105,
49/5 = 49 × 21/5 × 21 = 1029/105
Add the two like fractions:
490/105 + 1029/105 = 490 + 1029/105 = 1519/105
1519/105 simplified gives 217/15
So, 98/21 + 49/5 = 217/15
In mixed form: 147/15

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