Add 40/45 and 35/42
40/45 + 35/42 is 31/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 42 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 45 × 14 = 630,
40/45 = 40 × 14/45 × 14 = 560/630 - Likewise, for the 2nd fraction, since 42 × 15 = 630,
35/42 = 35 × 15/42 × 15 = 525/630 - Add the two like fractions:
560/630 + 525/630 = 560 + 525/630 = 1085/630 - 1085/630 simplified gives 31/18
- So, 40/45 + 35/42 = 31/18
In mixed form: 113/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/45+35/42 40/45+70/42 40/90+35/42 40/45+35/84