Add 21/5 and 24/27, Solve 4 1/5 + 24/27 as a fraction

Add 21/5 and 24/27

1^st number: 4 1/5, 2^nd number: 24/27

21/5 + 24/27 is 229/45.

Find the least common denominator or LCM of the two denominators:
LCM of 5 and 27 is 135

Next, find the equivalent fraction of both fractional numbers with denominator 135
For the 1st fraction, since 5 × 27 = 135,
21/5 = 21 × 27/5 × 27 = 567/135
Likewise, for the 2nd fraction, since 27 × 5 = 135,
24/27 = 24 × 5/27 × 5 = 120/135
Add the two like fractions:
567/135 + 120/135 = 567 + 120/135 = 687/135
687/135 simplified gives 229/45
So, 21/5 + 24/27 = 229/45
In mixed form: 54/45

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