Question

consider the fractions 2/5 , 4/15 , 3/5 , 7/10, 13/ 10. Now fill in the blanks :- The greatest fraction and the smallest fraction

Answer 1

Step-by-step explanation:

5/10,5/13,5/24,5/35 greatest fraction

Answer 2

Given,

The fractions 2/5 , 4/15 , 3/5 , 7/10, 13/ 10.

To find,

The greatest fraction and the smallest fraction.

Solution,

The denominator of the fractions is 5, 15, 5, 10, 10.

First, we have to find the LCM of 5, 15, 5, 10, 10 that is 30.

• Now, representing 2/5 with denominator 30.

        $\frac{2*6}{5*6} =\frac{12}{30}$

• Representing 4/15 with denominator 30

        $\frac{4*2}{15*2}= \frac{8}{30}$

• Representing 3/5 with denominator 30

        $\frac{3*6}{5*6}= \frac{18}{30}$

• Representing 7/10 with denominator 30

        $\frac{7*3}{10*3}= \frac{21}{30}$

• Representing 13/10 with denominator 30

        $\frac{13*3}{10*3}= \frac{39}{30}$

As we can see that 39/30 is the fraction that has the highest numerator therefore the greatest fraction is 13/10.

8/30 is the fraction that has the lowest numerator therefore the smallest fraction is 4/15.