Add 27/30 and 45/8
1st number: 27/30, 2nd number: 5 5/8
27/30 + 45/8 is 261/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 8 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 30 × 4 = 120,
27/30 = 27 × 4/30 × 4 = 108/120 - Likewise, for the 2nd fraction, since 8 × 15 = 120,
45/8 = 45 × 15/8 × 15 = 675/120 - Add the two like fractions:
108/120 + 675/120 = 108 + 675/120 = 783/120 - 783/120 simplified gives 261/40
- So, 27/30 + 45/8 = 261/40
In mixed form: 621/40
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/30+45/8 27/30+90/8 27/60+45/8 27/30+45/16 81/30+45/8 27/90+45/8 27/30+45/24 27/30+45/40 27/30+45/56