Add 3/10 and 75/84
3/10 + 75/84 is 167/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 10 × 42 = 420,
3/10 = 3 × 42/10 × 42 = 126/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
75/84 = 75 × 5/84 × 5 = 375/420 - Add the two like fractions:
126/420 + 375/420 = 126 + 375/420 = 501/420 - 501/420 simplified gives 167/140
- So, 3/10 + 75/84 = 167/140
In mixed form: 127/140
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 6/10+75/84 3/20+75/84 9/10+75/84 3/30+75/84 15/10+75/84 3/50+75/84 21/10+75/84 3/70+75/84