Add 21/45 and 8/36
21/45 + 8/36 is 31/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 36 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 45 × 4 = 180,
21/45 = 21 × 4/45 × 4 = 84/180 - Likewise, for the 2nd fraction, since 36 × 5 = 180,
8/36 = 8 × 5/36 × 5 = 40/180 - Add the two like fractions:
84/180 + 40/180 = 84 + 40/180 = 124/180 - 124/180 simplified gives 31/45
- So, 21/45 + 8/36 = 31/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/45+8/36 21/45+16/36 21/90+8/36 21/45+8/72 63/45+8/36 21/45+24/36 21/45+40/36 21/45+56/36