Add 1/4 and 49/20
1st number: 1/4, 2nd number: 2 9/20
1/4 + 49/20 is 27/10.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 20 is 20
Next, find the equivalent fraction of both fractional numbers with denominator 20 - For the 1st fraction, since 4 × 5 = 20,
1/4 = 1 × 5/4 × 5 = 5/20 - Likewise, for the 2nd fraction, since 20 × 1 = 20,
49/20 = 49 × 1/20 × 1 = 49/20 - Add the two like fractions:
5/20 + 49/20 = 5 + 49/20 = 54/20 - 54/20 simplified gives 27/10
- So, 1/4 + 49/20 = 27/10
In mixed form: 27/10
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 2/4+49/20 1/4+98/20 1/8+49/20 1/4+49/40 3/4+49/20 1/12+49/20 1/4+49/60 5/4+49/20 1/20+49/20 7/4+49/20 1/28+49/20