Add 45/21 and 72/25, Solve 2 3/21 + 2 22/25 as a fraction

Add 45/21 and 72/25

1^st number: 2 3/21, 2^nd number: 2 22/25

45/21 + 72/25 is 879/175.

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 25 is 525

Next, find the equivalent fraction of both fractional numbers with denominator 525
For the 1st fraction, since 21 × 25 = 525,
45/21 = 45 × 25/21 × 25 = 1125/525
Likewise, for the 2nd fraction, since 25 × 21 = 525,
72/25 = 72 × 21/25 × 21 = 1512/525
Add the two like fractions:
1125/525 + 1512/525 = 1125 + 1512/525 = 2637/525
2637/525 simplified gives 879/175
So, 45/21 + 72/25 = 879/175
In mixed form: 54/175

MathStep (Works offline)

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