Add 30/24 and 14/45
1st number: 1 6/24, 2nd number: 14/45
30/24 + 14/45 is 281/180.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 45 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 24 × 15 = 360,
30/24 = 30 × 15/24 × 15 = 450/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
14/45 = 14 × 8/45 × 8 = 112/360 - Add the two like fractions:
450/360 + 112/360 = 450 + 112/360 = 562/360 - 562/360 simplified gives 281/180
- So, 30/24 + 14/45 = 281/180
In mixed form: 1101/180
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/24+14/45 30/24+28/45 30/48+14/45 30/24+14/90 90/24+14/45 30/24+42/45 30/72+14/45 30/24+70/45 30/24+98/45