Add 75/40 and 42/45
1st number: 1 35/40, 2nd number: 42/45
75/40 + 42/45 is 337/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 45 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 40 × 9 = 360,
75/40 = 75 × 9/40 × 9 = 675/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
42/45 = 42 × 8/45 × 8 = 336/360 - Add the two like fractions:
675/360 + 336/360 = 675 + 336/360 = 1011/360 - 1011/360 simplified gives 337/120
- So, 75/40 + 42/45 = 337/120
In mixed form: 297/120
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/40+84/45 75/80+42/45 75/40+42/90