Add 45/75 and 25/21, Solve 45/75 + 1 4/21 as a fraction

Add 45/75 and 25/21

1^st number: 45/75, 2^nd number: 1 4/21

45/75 + 25/21 is 188/105.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 21 is 525

Next, find the equivalent fraction of both fractional numbers with denominator 525
For the 1st fraction, since 75 × 7 = 525,
45/75 = 45 × 7/75 × 7 = 315/525
Likewise, for the 2nd fraction, since 21 × 25 = 525,
25/21 = 25 × 25/21 × 25 = 625/525
Add the two like fractions:
315/525 + 625/525 = 315 + 625/525 = 940/525
940/525 simplified gives 188/105
So, 45/75 + 25/21 = 188/105
In mixed form: 183/105

MathStep (Works offline)

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