Add 10/30 and 45/70
10/30 + 45/70 is 41/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 70 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 70 × 3 = 210,
45/70 = 45 × 3/70 × 3 = 135/210 - Add the two like fractions:
70/210 + 135/210 = 70 + 135/210 = 205/210 - 205/210 simplified gives 41/42
- So, 10/30 + 45/70 = 41/42
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/30+45/70 10/30+90/70 10/60+45/70 10/90+45/70 50/30+45/70 70/30+45/70