Add 84/45 and 40/42
1st number: 1 39/45, 2nd number: 40/42
84/45 + 40/42 is 296/105.
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,
84/45 = 84 × 14/45 × 14 = 1176/630 - Likewise, for the 2nd fraction, since 42 × 15 = 630,
40/42 = 40 × 15/42 × 15 = 600/630 - Add the two like fractions:
1176/630 + 600/630 = 1176 + 600/630 = 1776/630 - 1776/630 simplified gives 296/105
- So, 84/45 + 40/42 = 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: 84/45+80/42 84/90+40/42 84/45+40/84