Add 2/5 and 75/84
2/5 + 75/84 is 181/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 5 × 84 = 420,
2/5 = 2 × 84/5 × 84 = 168/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
75/84 = 75 × 5/84 × 5 = 375/420 - Add the two like fractions:
168/420 + 375/420 = 168 + 375/420 = 543/420 - 543/420 simplified gives 181/140
- So, 2/5 + 75/84 = 181/140
In mixed form: 141/140
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 4/5+75/84 2/10+75/84 6/5+75/84 2/15+75/84 10/5+75/84 2/25+75/84 14/5+75/84 2/35+75/84