Add 40/30 and 40/7
1st number: 1 10/30, 2nd number: 5 5/7
40/30 + 40/7 is 148/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 7 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
40/30 = 40 × 7/30 × 7 = 280/210 - Likewise, for the 2nd fraction, since 7 × 30 = 210,
40/7 = 40 × 30/7 × 30 = 1200/210 - Add the two like fractions:
280/210 + 1200/210 = 280 + 1200/210 = 1480/210 - 1480/210 simplified gives 148/21
- So, 40/30 + 40/7 = 148/21
In mixed form: 71/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/30+40/7 40/30+80/7 40/60+40/7 40/30+40/14 40/90+40/7 40/30+40/21 40/30+40/35 40/30+40/49