Add 36/42 and 75/54, Solve 36/42 + 1 21/54 as a fraction

Add 36/42 and 75/54

1^st number: 36/42, 2^nd number: 1 21/54

36/42 + 75/54 is 283/126.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 54 is 378

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 42 × 9 = 378,
36/42 = 36 × 9/42 × 9 = 324/378
Likewise, for the 2nd fraction, since 54 × 7 = 378,
75/54 = 75 × 7/54 × 7 = 525/378
Add the two like fractions:
324/378 + 525/378 = 324 + 525/378 = 849/378
849/378 simplified gives 283/126
So, 36/42 + 75/54 = 283/126
In mixed form: 231/126

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