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# Convert the given fraction $\dfrac{{45}}{{1000}}$ into the decimal.

Last updated date: 19th Jul 2024
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Hint: First we have to define what the terms we need to solve the problem are.
Numbers that fall between integers and non-integers are called decimals.
Ratio of two numbers and different ways to represent division is called Fractions.

Complete step-by-step solution:
Decimals and fractions are both the representation for rational numbers yet the two are very different from each other.
Fractions are expressed as a division of two numbers. It has two parts namely the numerator which is the upper number and the denominator which is the bottom number. A decimal number, on the other hand, has two parts which are separated by a decimal point, in simple word a “dot”, example; $59.23$
The digits to the left of the decimal point are the whole number whereas the digits to the right of the decimal point are the fractional part.
Thus, to convert a decimal into a fraction there is no need for decimal to fraction formula; but just three simple steps that we need to follow
Step1: Write the given decimal without the decimal point as a numerator
Step2: Take $1$ annexed with as many zeros as in the number of decimal places in the given decimal as a denominator.
Step3: Reduce the fraction in the simplest form.
Using these $3$steps we can able to write the fraction into$\dfrac{{45}}{{1000}}$= $\dfrac{9}{{200}}$ Or else in a fraction term of $0.045$

Note: We know that $\dfrac{{45}}{{1000}}$= $\dfrac{9}{{200}}$=$0.045$ in this case the dividend is exactly divisible after a few steps;
The remainder is zero, such decimal numbers are called terminating decimals.
Now look at this $\dfrac{2}{3} = 0.6666......$in some fractions the division does not stop and obtain a certain block of digits which is repeated over and over again. Such decimals numbers are called recurring decimals.