Add 35/75 and 8/21
35/75 + 8/21 is 89/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 21 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 75 × 7 = 525,
35/75 = 35 × 7/75 × 7 = 245/525 - Likewise, for the 2nd fraction, since 21 × 25 = 525,
8/21 = 8 × 25/21 × 25 = 200/525 - Add the two like fractions:
245/525 + 200/525 = 245 + 200/525 = 445/525 - 445/525 simplified gives 89/105
- So, 35/75 + 8/21 = 89/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/75+8/21 35/75+16/21 35/75+8/42 35/75+24/21 35/75+8/63 35/75+40/21 35/75+56/21