Add 42/75 and 7/84
42/75 + 7/84 is 193/300.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 84 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 75 × 28 = 2100,
42/75 = 42 × 28/75 × 28 = 1176/2100 - Likewise, for the 2nd fraction, since 84 × 25 = 2100,
7/84 = 7 × 25/84 × 25 = 175/2100 - Add the two like fractions:
1176/2100 + 175/2100 = 1176 + 175/2100 = 1351/2100 - 1351/2100 simplified gives 193/300
- So, 42/75 + 7/84 = 193/300
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/75+7/84 42/75+14/84 42/75+21/84 42/75+35/84 42/75+49/84