Name: Subtraction of Decimals
Uploaded: 2019-07-19
Duration: 2 min 41 s
Description: We use decimal fractions in real life. They are very important to us. Let's take a look at this video to understand the addition of decimal fractions.

Question

Convert

6.004

as a mixed fraction.

Accepted Answer

Given fraction is $6.004$ .

We need to convert $6.004$ into a mixed fraction. For that, let us first convert this to improper fraction.

First, we need to write the given decimal without the decimal point as the numerator and in the denominator write $1$ followed by as many zeros as there are decimal places in the given decimal number.

$\Rightarrow 6.004 = \frac{6004}{1000}$

Now, we reduce the above fraction to the simplest from by dividing both numerator and denominator of fraction by its HCF.

$\frac{6004}{1000} = \frac{6004 \div 4}{1000 \div 4} = \frac{1501}{250}$

As the numerator is greater than the denominator, it is an improper fraction and can be converted to mixed fraction as

$Mixed fraction = Quotient \frac{Remainder}{Divisor}$

Thus, dividing $1501$ by $250$ we get:

Quotient $= 6$ , Remainder $= 1$ and Divisor $= 250$

Hence, $6.004 = 6 \frac{1}{250}$

Convert $6.004$ as a mixed fraction.

Important Questions on Decimals

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