Add 8/27 and 49/40, Solve 8/27 + 1 9/40 as a fraction

Add 8/27 and 49/40

1^st number: 8/27, 2^nd number: 1 9/40

8/27 + 49/40 is 1643/1080.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 40 is 1080

Next, find the equivalent fraction of both fractional numbers with denominator 1080
For the 1st fraction, since 27 × 40 = 1080,
8/27 = 8 × 40/27 × 40 = 320/1080
Likewise, for the 2nd fraction, since 40 × 27 = 1080,
49/40 = 49 × 27/40 × 27 = 1323/1080
Add the two like fractions:
320/1080 + 1323/1080 = 320 + 1323/1080 = 1643/1080
So, 8/27 + 49/40 = 1643/1080
In mixed form: 1563/1080

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