Question

Find the median for 2/3, 4/5, 1/2, 3/4, 6/5.

Answer 1

Answer:

3/4

Step-by-step explanation:

To Find : Find the median for 2/3, 4/5, 1/2, 3/4, 6/5.

Solution:

First make the denominator of all fractions same

Lcm of all denominators(2/3,4/5,1/2,3/4,6/5) is 60

So,

$\frac{2}{3} *\frac{20}{20} =\frac{40}{60}$

$\frac{4}{5} *\frac{12}{12} =\frac{48}{60}$

$\frac{1}{2} *\frac{30}{30} =\frac{30}{60}$

$\frac{3}{4} *\frac{15}{15} =\frac{45}{60}$

$\frac{6}{5} *\frac{12}{12} =\frac{72}{60}$

Now arrange these fractions in ascending order

30/60,40/60,45/60,48/60,72/60

So, given fractions in ascending orders : 1/2 , 2/3 , 3/4 , 4/5 , 6/5

Now median is the mid value of the data

So, the mid value is 3/4

Hence median is 3/4