Question

express 2.4(bar on)248 in p/q form​

Answer 1

The number in p/q form is $\bf \red{ \frac{12112}{4995}}$

Given:

• $2.4 \overline{248}$

To find:

• Express given number in p/q form.

Solution:

Step 1:

Let the number is x.

$x = 2.4 \overline{248}$

or

$x = 2.4248248... \: \: \: \: \: ...eq1$

Multiply eq1 by 10.

$10x = 24.248248... \: \: \: \: \: ...eq2$

Multiply eq2 by 1000.

$10000x = 24248.248248... \: \: \: \: ...eq3$

Step 2:

Subtract eq2 from eq3.

$10000x - 10x = 24248.248248... - 24.248248...$

or

$9990x = 24224$

or

$x = \frac{24224}{9990}$

or

$\bf x = \frac{12112}{4995}$

Thus,

The number in p/q form is $\bf \frac{12112}{4995}$

Learn more:

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2) Express in the form of p/q

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