Add 28/42 and 40/45
28/42 + 40/45 is 14/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 45 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 42 × 15 = 630,
28/42 = 28 × 15/42 × 15 = 420/630 - Likewise, for the 2nd fraction, since 45 × 14 = 630,
40/45 = 40 × 14/45 × 14 = 560/630 - Add the two like fractions:
420/630 + 560/630 = 420 + 560/630 = 980/630 - 980/630 simplified gives 14/9
- So, 28/42 + 40/45 = 14/9
In mixed form: 15/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 56/42+40/45 28/42+80/45 28/84+40/45 28/42+40/90 84/42+40/45