Add 98/5 and 24/21, Solve 19 3/5 + 1 3/21 as a fraction

Add 98/5 and 24/21

1^st number: 19 3/5, 2^nd number: 1 3/21

98/5 + 24/21 is 726/35.

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

Next, find the equivalent fraction of both fractional numbers with denominator 105
For the 1st fraction, since 5 × 21 = 105,
98/5 = 98 × 21/5 × 21 = 2058/105
Likewise, for the 2nd fraction, since 21 × 5 = 105,
24/21 = 24 × 5/21 × 5 = 120/105
Add the two like fractions:
2058/105 + 120/105 = 2058 + 120/105 = 2178/105
2178/105 simplified gives 726/35
So, 98/5 + 24/21 = 726/35
In mixed form: 2026/35

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