Add 1/98 and 45/42, Solve 1/98 + 1 3/42 as a fraction

Add 1/98 and 45/42

1^st number: 1/98, 2^nd number: 1 3/42

1/98 + 45/42 is 53/49.

Find the least common denominator or LCM of the two denominators:
LCM of 98 and 42 is 294

Next, find the equivalent fraction of both fractional numbers with denominator 294
For the 1st fraction, since 98 × 3 = 294,
1/98 = 1 × 3/98 × 3 = 3/294
Likewise, for the 2nd fraction, since 42 × 7 = 294,
45/42 = 45 × 7/42 × 7 = 315/294
Add the two like fractions:
3/294 + 315/294 = 3 + 315/294 = 318/294
318/294 simplified gives 53/49
So, 1/98 + 45/42 = 53/49
In mixed form: 14/49

MathStep (Works offline)

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