Add 42/9 and 75/40
1st number: 4 6/9, 2nd number: 1 35/40
42/9 + 75/40 is 157/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 40 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 9 × 40 = 360,
42/9 = 42 × 40/9 × 40 = 1680/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
75/40 = 75 × 9/40 × 9 = 675/360 - Add the two like fractions:
1680/360 + 675/360 = 1680 + 675/360 = 2355/360 - 2355/360 simplified gives 157/24
- So, 42/9 + 75/40 = 157/24
In mixed form: 613/24
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/9+75/40 42/18+75/40 42/9+75/80 42/27+75/40 42/45+75/40 42/63+75/40