Add 75/24 and 12/45
1st number: 3 3/24, 2nd number: 12/45
75/24 + 12/45 is 407/120.
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,
75/24 = 75 × 15/24 × 15 = 1125/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
12/45 = 12 × 8/45 × 8 = 96/360 - Add the two like fractions:
1125/360 + 96/360 = 1125 + 96/360 = 1221/360 - 1221/360 simplified gives 407/120
- So, 75/24 + 12/45 = 407/120
In mixed form: 347/120
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/24+24/45 75/48+12/45 75/24+12/90 75/24+36/45 75/72+12/45 75/24+60/45 75/24+84/45