Add 45/72 and 27/42, Solve 45/72 + 27/42 as a fraction

Add 45/72 and 27/42

45/72 + 27/42 is 71/56.

Find the least common denominator or LCM of the two denominators:
LCM of 72 and 42 is 504

Next, find the equivalent fraction of both fractional numbers with denominator 504
For the 1st fraction, since 72 × 7 = 504,
45/72 = 45 × 7/72 × 7 = 315/504
Likewise, for the 2nd fraction, since 42 × 12 = 504,
27/42 = 27 × 12/42 × 12 = 324/504
Add the two like fractions:
315/504 + 324/504 = 315 + 324/504 = 639/504
639/504 simplified gives 71/56
So, 45/72 + 27/42 = 71/56
In mixed form: 115/56

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