Add 40/45 and 70/42
1st number: 40/45, 2nd number: 1 28/42
40/45 + 70/42 is 23/9.
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,
70/42 = 70 × 15/42 × 15 = 1050/630 - Add the two like fractions:
560/630 + 1050/630 = 560 + 1050/630 = 1610/630 - 1610/630 simplified gives 23/9
- So, 40/45 + 70/42 = 23/9
In mixed form: 25/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/45+70/42 40/90+70/42 40/45+70/84