Question

How do you change 0.5625 into a fraction.

Answer 1

Hint:A fraction is a form of representing a decimal number in the form of one number divided by a second number. When we simplify a fraction, we get an integer or a decimal number. Simplifying a fraction basically represents dividing one number with the second number. While converting a decimal number into a fraction just basic multiplication and division is required.

Complete step by step answer:
According to the question, we have to change the given decimal number, that is, 0.5625 into a fraction
So to convert a number into a fraction, count the number of digits after the decimal or right-hand side of the decimal, and multiply and divide with the decimal number with that power of 10.
In the number 0.5625, there are 4 numbers after the decimal (5, 6, 2, and 5), so we will divide and multiply the decimal number with ${10^4}$, that is 10000.
$\dfrac{{0.5625 \times {{10}^4}}}{{{{10}^4}}}$ = $\dfrac{{5625}}{{1000}}$
Now, we have to just simplify this equation or just divide 5625 with 1000
$\dfrac{{5625}}{{1000}} = \dfrac{{1125}}{{200}} = \dfrac{{225}}{{40}} = \dfrac{{45}}{8}$

Hence, $\dfrac{{45}}{8}$ is the fraction form of the decimal number 0.5625.

Note: Fraction and decimal numbers are just represented differently but their values are the same. The power of a number is equal to that number multiplied to itself the number of times the power is given. For example, in the question ${10^4}$ is given which means 10 will multiply itself 4 times, so the result is $10 \times 10 \times 10 \times 10 = 10000$ . That is why we divide the number 0.5625 by 10000. The fraction can be easily remembered as the ratio between two numbers, one is the numerator and the other is the denominator.