Add 49/45 and 84/27, Solve 1 4/45 + 3 3/27 as a fraction

Add 49/45 and 84/27

1^st number: 1 4/45, 2^nd number: 3 3/27

49/45 + 84/27 is 21/5.

Find the least common denominator or LCM of the two denominators:
LCM of 45 and 27 is 135

Next, find the equivalent fraction of both fractional numbers with denominator 135
For the 1st fraction, since 45 × 3 = 135,
49/45 = 49 × 3/45 × 3 = 147/135
Likewise, for the 2nd fraction, since 27 × 5 = 135,
84/27 = 84 × 5/27 × 5 = 420/135
Add the two like fractions:
147/135 + 420/135 = 147 + 420/135 = 567/135
567/135 simplified gives 21/5
So, 49/45 + 84/27 = 21/5
In mixed form: 41/5

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