Question

the average of 31 1/2,32 1/4,31 2/3,33 3/4 is

Answer 1

answer is 775/24

First add the whole numbers and and fractions. Group them to get total. divide it by 4

=(127 + 13/6) * (1/4) = 775/24 = 32.27

Answer 2

Given:

Four numbers

$31 \frac{1}{2}, \: 32 \frac{1}{4} , \: 31 \frac{2}{3} , \: 33 \frac{3}{4}$

To find:

The average of given four numbers.

Solution:

To answer this question, first of all, we should know that the average of 'n' numbers is equal to the sum of 'n' numbers divided by total numbers i.e. n.

So,

The sum of given four numbers

$31 \frac{1}{2}, \: 32 \frac{1}{4} , \: 31 \frac{2}{3} \: 33 \frac{3}{4}$

is obtained by separately adding the whole numbers and fractions.

So,

the sum of whole numbers

$= 31 + 32 + 31 + 33$

$= 127$

Now,

the sum of fractions

$= \frac{1}{2} + \frac{1}{4} + \frac{2}{3} + \frac{3}{4}$

$= \frac{1}{2} + 1 + \frac{2}{3}$

On taking 6 as LCM, we get

$= \frac{3 + 6 + 4}{6}$

$= \frac{13}{6}$

Now,

the sum of four numbers

$= 127 \frac{13}{6}$

Average of four numbers

$= \frac{sum \: of \: four \: numbers }{4}$

$= \frac{127 \frac{13}{6} }{4}$

$= \frac{775}{24}$

$= 32.29$

Hence, the average of the given numbers is 32.29.