Add 30/8 and 35/21
1st number: 3 6/8, 2nd number: 1 14/21
30/8 + 35/21 is 65/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 21 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 8 × 21 = 168,
30/8 = 30 × 21/8 × 21 = 630/168 - Likewise, for the 2nd fraction, since 21 × 8 = 168,
35/21 = 35 × 8/21 × 8 = 280/168 - Add the two like fractions:
630/168 + 280/168 = 630 + 280/168 = 910/168 - 910/168 simplified gives 65/12
- So, 30/8 + 35/21 = 65/12
In mixed form: 55/12
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/8+35/21 30/8+70/21 30/16+35/21 30/8+35/42 90/8+35/21 30/24+35/21 30/8+35/63 30/40+35/21 30/56+35/21