Question

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

Answer 1

Answer:

827/48

Step-by-step explanation:

Answer 2

The given question is we have to find the average of four fractions.

The given fractions are

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

The given fractions are mixed.

On changing them into improper the fractions are

$\frac{62}{2} \frac{128}{4} \frac{95}{3} \frac{135}{4}$

we have to find the average of these fractions.

The number of fractions is 4.

The average is obtained by dividing the sum of terms by the total number of terms.

The sum of terms is

$\frac{62}{2} + \frac{128}{4} + \frac{95}{3} + \frac{135}{4}$

The denominators of these four fractions are different.

so, the addition will be done by taking the LCM.

The LCM of these fractions will be

$\frac{372 + 512 + 380 + 405}{12} = \frac{1669}{12}$

Then the average is found by

$\frac{ \frac{1669}{12} }{4}$

The 4 dividing the term will multiply the same term with its reciprocal. we get

$\frac{1669}{12} \times \frac{1}{4}$

on multiplying we get the answer as

$\frac{1669}{48}$

On further division, we get the answer as 34.77

Therefore, the final answer to the given question, the average of these four fractions is 34.77

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