Add 40/42 and 4/45
40/42 + 4/45 is 328/315.
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,
40/42 = 40 × 15/42 × 15 = 600/630 - Likewise, for the 2nd fraction, since 45 × 14 = 630,
4/45 = 4 × 14/45 × 14 = 56/630 - Add the two like fractions:
600/630 + 56/630 = 600 + 56/630 = 656/630 - 656/630 simplified gives 328/315
- So, 40/42 + 4/45 = 328/315
In mixed form: 113/315
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/42+4/45 40/42+8/45 40/84+4/45 40/42+4/90 40/42+12/45 40/42+20/45 40/42+28/45