Add 40/42 and 84/45
1st number: 40/42, 2nd number: 1 39/45
40/42 + 84/45 is 296/105.
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,
84/45 = 84 × 14/45 × 14 = 1176/630 - Add the two like fractions:
600/630 + 1176/630 = 600 + 1176/630 = 1776/630 - 1776/630 simplified gives 296/105
- So, 40/42 + 84/45 = 296/105
In mixed form: 286/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/42+84/45 40/84+84/45 40/42+84/90