Add 30/40 and 12/45
30/40 + 12/45 is 61/60.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 45 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 40 × 9 = 360,
30/40 = 30 × 9/40 × 9 = 270/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
12/45 = 12 × 8/45 × 8 = 96/360 - Add the two like fractions:
270/360 + 96/360 = 270 + 96/360 = 366/360 - 366/360 simplified gives 61/60
- So, 30/40 + 12/45 = 61/60
In mixed form: 11/60
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/40+12/45 30/40+24/45 30/80+12/45 30/40+12/90 90/40+12/45 30/40+36/45 30/40+60/45 30/40+84/45