Add 30/35 and 35/18
1st number: 30/35, 2nd number: 1 17/18
30/35 + 35/18 is 353/126.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 18 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 35 × 18 = 630,
30/35 = 30 × 18/35 × 18 = 540/630 - Likewise, for the 2nd fraction, since 18 × 35 = 630,
35/18 = 35 × 35/18 × 35 = 1225/630 - Add the two like fractions:
540/630 + 1225/630 = 540 + 1225/630 = 1765/630 - 1765/630 simplified gives 353/126
- So, 30/35 + 35/18 = 353/126
In mixed form: 2101/126
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/35+35/18 30/35+70/18 30/70+35/18 30/35+35/36 90/35+35/18 30/35+35/54 30/35+35/90