Add 75/40 and 30/84
1st number: 1 35/40, 2nd number: 30/84
75/40 + 30/84 is 125/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 84 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 40 × 21 = 840,
75/40 = 75 × 21/40 × 21 = 1575/840 - Likewise, for the 2nd fraction, since 84 × 10 = 840,
30/84 = 30 × 10/84 × 10 = 300/840 - Add the two like fractions:
1575/840 + 300/840 = 1575 + 300/840 = 1875/840 - 1875/840 simplified gives 125/56
- So, 75/40 + 30/84 = 125/56
In mixed form: 213/56
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/40+60/84 75/80+30/84 75/40+90/84