Add 36/42 and 42/50, Solve 36/42 + 42/50 as a fraction

Add 36/42 and 42/50

36/42 + 42/50 is 297/175.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 50 is 1050

Next, find the equivalent fraction of both fractional numbers with denominator 1050
For the 1st fraction, since 42 × 25 = 1050,
36/42 = 36 × 25/42 × 25 = 900/1050
Likewise, for the 2nd fraction, since 50 × 21 = 1050,
42/50 = 42 × 21/50 × 21 = 882/1050
Add the two like fractions:
900/1050 + 882/1050 = 900 + 882/1050 = 1782/1050
1782/1050 simplified gives 297/175
So, 36/42 + 42/50 = 297/175
In mixed form: 1122/175

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad