We often come across decimals in our everyday lives, whether we’re dealing with money, measurements, or something else. But what do they mean, and how do we work with them? In this article, we’ll take a look at the decimal .5625, and figure out what it is when expressed as a fraction.
Checkout this video:
In mathematics, a fraction is a number that represents a part of a whole. It is made up of two parts, the numerator and the denominator. The numerator is the number on top of the fraction bar, and the denominator is the number on the bottom of the fraction bar. The denominator tells us how many parts the whole is divided into, and the numerator tells us how many of those parts we have. For example, in the fraction ¾, there are three equal parts of 1 (the whole), and we have two of those parts, so we write 2 over 3 like this:
When we want to rename a fraction using an equivalent fraction, we find another fraction that has the same value as the first one. An equivalent fraction has the same value as another fraction because it has the same numerical value when simplified. In other words, when you multiply or divide both sides of an equivalent equation by 𝑛𝑛 , nn , nn , where nn is any nonzero integer (1, 2, 3… etc.), you don’t change its value. So, if we have an equivalent equation such as:
We can multiply or divide both sides by 2 to get:
Which gives us:
Both fractions on either side of the equation are now simplified (or in lowest terms), but they still have the same numerical value because they are equivalent fractions. So 3⁄ 6 3/6 3/6 is equivalent to 1⁄ 2 1/2 1/2 . To answer your question directly, .5625 can be written as a fraction in lowest terms as 9⁄ 16 9/16 9/16 .
What is .5625 as a Fraction?
.5625 is equal to 9/16 when written as a fraction . When written as a decimal, .5625 means five and sixty-two thousandths. When written as a percent, .5625 means 56.25%.
Decimals and fractions
A decimal is a number that represents a fraction whose denominator is a power of ten. In the number 0.5625, 5/8 is the numerator and 10 to the power of negative 2 (10-2) is the denominator. In other words, it can be written as the fraction:
5/8 = 0.5625
To change a decimal to a fraction, we put the numerator over the denominator and reduce if necessary. In this case, we would write:
0.5625 = 5/8
Converting fractions to decimals
To convert a fraction to a decimal, divide the numerator by the denominator.
In other words, to convert a fraction to a decimal, divide the top number of the fraction by the bottom number of the fraction.
For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator. To convert 3/4 to a decimal, divide 3 by 4:
3 ÷ 4 = 0.75
.5625 as a fraction
.5625 as a fraction is 9/16.
.5625 is equal to 9/16 as a fraction.