Add 36/10 and 75/27
1st number: 3 6/10, 2nd number: 2 21/27
36/10 + 75/27 is 287/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 27 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 10 × 27 = 270,
36/10 = 36 × 27/10 × 27 = 972/270 - Likewise, for the 2nd fraction, since 27 × 10 = 270,
75/27 = 75 × 10/27 × 10 = 750/270 - Add the two like fractions:
972/270 + 750/270 = 972 + 750/270 = 1722/270 - 1722/270 simplified gives 287/45
- So, 36/10 + 75/27 = 287/45
In mixed form: 617/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/10+75/27 36/20+75/27 36/10+75/54 36/30+75/27 36/10+75/81 36/50+75/27 36/70+75/27