Add 27/5 and 32/45, Solve 5 2/5 + 32/45 as a fraction

Add 27/5 and 32/45

1^st number: 5 2/5, 2^nd number: 32/45

27/5 + 32/45 is 55/9.

Find the least common denominator or LCM of the two denominators:
LCM of 5 and 45 is 45

Next, find the equivalent fraction of both fractional numbers with denominator 45
For the 1st fraction, since 5 × 9 = 45,
27/5 = 27 × 9/5 × 9 = 243/45
Likewise, for the 2nd fraction, since 45 × 1 = 45,
32/45 = 32 × 1/45 × 1 = 32/45
Add the two like fractions:
243/45 + 32/45 = 243 + 32/45 = 275/45
275/45 simplified gives 55/9
So, 27/5 + 32/45 = 55/9
In mixed form: 61/9

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