Add 35/42 and 40/90
35/42 + 40/90 is 23/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 90 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 42 × 15 = 630,
35/42 = 35 × 15/42 × 15 = 525/630 - Likewise, for the 2nd fraction, since 90 × 7 = 630,
40/90 = 40 × 7/90 × 7 = 280/630 - Add the two like fractions:
525/630 + 280/630 = 525 + 280/630 = 805/630 - 805/630 simplified gives 23/18
- So, 35/42 + 40/90 = 23/18
In mixed form: 15/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/42+40/90 35/42+80/90 35/84+40/90