Add 30/45 and 40/84
30/45 + 40/84 is 8/7.
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,
30/45 = 30 × 28/45 × 28 = 840/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
40/84 = 40 × 15/84 × 15 = 600/1260 - Add the two like fractions:
840/1260 + 600/1260 = 840 + 600/1260 = 1440/1260 - 1440/1260 simplified gives 8/7
- So, 30/45 + 40/84 = 8/7
In mixed form: 11/7
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/45+40/84 30/45+80/84 30/90+40/84 90/45+40/84