Question

The average of four fractions is 1/2. Three fractions are 0.02, 0.01 and 1.5. Find the
fourth fraction.​

Answer 1

Answer:

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Answer 2

The given question is that the average of four fractions is 1/2.

The three fractions are given, and we have to find the fourth fraction.

The three fractions are

0.02,0.01 and 1.5.

This is the arithmetic mean and is calculated by adding a group of numbers and then dividing by the count of those numbers.

let the fourth fraction be x.

the sum or total of the given fractions is 1.53+x, where x is considered the fourth fraction.

The average is calculated by dividing the sum of factions by the number of fractions.

$\frac{1.53 + x}{4}$

It is given that the average of 4 fractions is equal to 1/2

$\frac{1 .53 + x}{4} = \frac{1}{2}$

we have to find the value of x.

we can cross multiply the values

$(1.53 + x)(2) = 4 \\ 3.06 + 2x = 4$

Taking the constant term on the same side, we get.

$3.06 - 4 = - 2x$

On proceeding, we get the value as

$- 094 = - 2x \\ \frac{ - 0.94}{ - 2} = x \\ x = 0.47$

The value of x is 0.47.

let us verify the values of four fractions along the given question

$\frac{0.02 + 0.01 + 1.5 + 0.47}{4} = \frac{2}{4} = \frac{1}{2}$

Hence verified

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