Add 35/18 and 75/14
1st number: 1 17/18, 2nd number: 5 5/14
35/18 + 75/14 is 460/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 14 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 18 × 7 = 126,
35/18 = 35 × 7/18 × 7 = 245/126 - Likewise, for the 2nd fraction, since 14 × 9 = 126,
75/14 = 75 × 9/14 × 9 = 675/126 - Add the two like fractions:
245/126 + 675/126 = 245 + 675/126 = 920/126 - 920/126 simplified gives 460/63
- So, 35/18 + 75/14 = 460/63
In mixed form: 719/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/18+75/14 35/36+75/14 35/18+75/28 35/54+75/14 35/18+75/42 35/90+75/14 35/18+75/70 35/18+75/98