Add 4/10 and 75/27
1st number: 4/10, 2nd number: 2 21/27
4/10 + 75/27 is 143/45.
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,
4/10 = 4 × 27/10 × 27 = 108/270 - Likewise, for the 2nd fraction, since 27 × 10 = 270,
75/27 = 75 × 10/27 × 10 = 750/270 - Add the two like fractions:
108/270 + 750/270 = 108 + 750/270 = 858/270 - 858/270 simplified gives 143/45
- So, 4/10 + 75/27 = 143/45
In mixed form: 38/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 8/10+75/27 4/20+75/27 4/10+75/54 12/10+75/27 4/30+75/27 4/10+75/81 20/10+75/27 4/50+75/27 28/10+75/27 4/70+75/27