Question

Select the smallest fraction from the following list of fractions.
1/4
2/3
2 1/2
5 1/12
3/8
1/10

Answer 1

The smallest fraction is 1/10. As you can see on the list, the fraction with the lowest denominator is 1/10. The lower the denominator, the smaller it is if it is a unit fraction.

Answer 2

Hey!


Obviously both the fractions that contain whole numbers are to large to be considered the smallest fractions in the data set.

Original Data Set :
$\frac{1}{4} , \frac{2}{3} , 2 \frac{1}{2} , 5 \frac{1}{12} , \frac{3}{8} , \frac{1}{10}$

New Data Set {Removed Mixed Fractions} :
$\frac{1}{4} , \frac{2}{3} , \frac{3}{8} , \frac{1}{10}$

Now we find the least common divisor for the fractions in the data set and convert the fractions to there new form.

Old Data Set :
$\frac{1}{4} , \frac{2}{3} , \frac{3}{8} , \frac{1}{10}$

New Data Set {Common Denominators} :
$\frac{30}{120} , \frac{80}{120} , \frac{45}{120} , \frac{12}{120}$

And now that we can clearly see that the least fraction in the data set is $\frac{12}{120}$ which is  $\frac{1}{10}$.

Hope this helps!


- Lindsey Frazier ♥