Add 14/45 and 21/84
14/45 + 21/84 is 101/180.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 84 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 45 × 28 = 1260,
14/45 = 14 × 28/45 × 28 = 392/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
21/84 = 21 × 15/84 × 15 = 315/1260 - Add the two like fractions:
392/1260 + 315/1260 = 392 + 315/1260 = 707/1260 - 707/1260 simplified gives 101/180
- So, 14/45 + 21/84 = 101/180
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/45+21/84 14/45+42/84 14/90+21/84 42/45+21/84 14/45+63/84 70/45+21/84 98/45+21/84