Add 75/84 and 24/40
75/84 + 24/40 is 209/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 84 × 10 = 840,
75/84 = 75 × 10/84 × 10 = 750/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
24/40 = 24 × 21/40 × 21 = 504/840 - Add the two like fractions:
750/840 + 504/840 = 750 + 504/840 = 1254/840 - 1254/840 simplified gives 209/140
- So, 75/84 + 24/40 = 209/140
In mixed form: 169/140
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/84+48/40 75/84+24/80 75/84+72/40