Add 10/45 and 27/4
1st number: 10/45, 2nd number: 6 3/4
10/45 + 27/4 is 251/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 4 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 45 × 4 = 180,
10/45 = 10 × 4/45 × 4 = 40/180 - Likewise, for the 2nd fraction, since 4 × 45 = 180,
27/4 = 27 × 45/4 × 45 = 1215/180 - Add the two like fractions:
40/180 + 1215/180 = 40 + 1215/180 = 1255/180 - 1255/180 simplified gives 251/36
- So, 10/45 + 27/4 = 251/36
In mixed form: 635/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/45+27/4 10/45+54/4 10/90+27/4 10/45+27/8 30/45+27/4 10/45+81/4 10/45+27/12 50/45+27/4 10/45+27/20 70/45+27/4 10/45+27/28