Add 40/70 and 30/45
40/70 + 30/45 is 26/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 45 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 70 × 9 = 630,
40/70 = 40 × 9/70 × 9 = 360/630 - Likewise, for the 2nd fraction, since 45 × 14 = 630,
30/45 = 30 × 14/45 × 14 = 420/630 - Add the two like fractions:
360/630 + 420/630 = 360 + 420/630 = 780/630 - 780/630 simplified gives 26/21
- So, 40/70 + 30/45 = 26/21
In mixed form: 15/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/70+30/45 40/70+60/45 40/70+30/90 40/70+90/45