Add 10/30 and 75/14
1st number: 10/30, 2nd number: 5 5/14
10/30 + 75/14 is 239/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 14 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
10/30 = 10 × 7/30 × 7 = 70/210 - Likewise, for the 2nd fraction, since 14 × 15 = 210,
75/14 = 75 × 15/14 × 15 = 1125/210 - Add the two like fractions:
70/210 + 1125/210 = 70 + 1125/210 = 1195/210 - 1195/210 simplified gives 239/42
- So, 10/30 + 75/14 = 239/42
In mixed form: 529/42
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/30+75/14 10/60+75/14 10/30+75/28 10/90+75/14 10/30+75/42 50/30+75/14 10/30+75/70 70/30+75/14 10/30+75/98