Add 40/6 and 36/63, Solve 6 4/6 + 36/63 as a fraction

Add 40/6 and 36/63

1^st number: 6 4/6, 2^nd number: 36/63

40/6 + 36/63 is 152/21.

Find the least common denominator or LCM of the two denominators:
LCM of 6 and 63 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 6 × 21 = 126,
40/6 = 40 × 21/6 × 21 = 840/126
Likewise, for the 2nd fraction, since 63 × 2 = 126,
36/63 = 36 × 2/63 × 2 = 72/126
Add the two like fractions:
840/126 + 72/126 = 840 + 72/126 = 912/126
912/126 simplified gives 152/21
So, 40/6 + 36/63 = 152/21
In mixed form: 75/21

MathStep (Works offline)

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