Add 7/2 and 10/75
1st number: 3 1/2, 2nd number: 10/75
7/2 + 10/75 is 109/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 75 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 2 × 75 = 150,
7/2 = 7 × 75/2 × 75 = 525/150 - Likewise, for the 2nd fraction, since 75 × 2 = 150,
10/75 = 10 × 2/75 × 2 = 20/150 - Add the two like fractions:
525/150 + 20/150 = 525 + 20/150 = 545/150 - 545/150 simplified gives 109/30
- So, 7/2 + 10/75 = 109/30
In mixed form: 319/30
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/2+10/75 7/2+20/75 7/4+10/75 21/2+10/75 7/2+30/75 7/6+10/75 35/2+10/75 7/2+50/75 7/10+10/75 49/2+10/75 7/2+70/75 7/14+10/75