Add 49/84 and 42/75
49/84 + 42/75 is 343/300.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 75 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 84 × 25 = 2100,
49/84 = 49 × 25/84 × 25 = 1225/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
42/75 = 42 × 28/75 × 28 = 1176/2100 - Add the two like fractions:
1225/2100 + 1176/2100 = 1225 + 1176/2100 = 2401/2100 - 2401/2100 simplified gives 343/300
- So, 49/84 + 42/75 = 343/300
In mixed form: 143/300
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/84+42/75 49/84+84/75