Add 45/10 and 80/49, Solve 4 5/10 + 1 31/49 as a fraction

Add 45/10 and 80/49

1^st number: 4 5/10, 2^nd number: 1 31/49

45/10 + 80/49 is 601/98.

Find the least common denominator or LCM of the two denominators:
LCM of 10 and 49 is 490

Next, find the equivalent fraction of both fractional numbers with denominator 490
For the 1st fraction, since 10 × 49 = 490,
45/10 = 45 × 49/10 × 49 = 2205/490
Likewise, for the 2nd fraction, since 49 × 10 = 490,
80/49 = 80 × 10/49 × 10 = 800/490
Add the two like fractions:
2205/490 + 800/490 = 2205 + 800/490 = 3005/490
3005/490 simplified gives 601/98
So, 45/10 + 80/49 = 601/98
In mixed form: 613/98

MathStep (Works offline)

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