Add 10/30 and 75/28
1st number: 10/30, 2nd number: 2 19/28
10/30 + 75/28 is 253/84.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 28 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 30 × 14 = 420,
10/30 = 10 × 14/30 × 14 = 140/420 - Likewise, for the 2nd fraction, since 28 × 15 = 420,
75/28 = 75 × 15/28 × 15 = 1125/420 - Add the two like fractions:
140/420 + 1125/420 = 140 + 1125/420 = 1265/420 - 1265/420 simplified gives 253/84
- So, 10/30 + 75/28 = 253/84
In mixed form: 31/84
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/30+75/28 10/60+75/28 10/30+75/56 10/90+75/28 10/30+75/84 50/30+75/28 70/30+75/28