Converting Fractions to Decimals: How to Convert 5/8

Converting Fractions to Decimals: How to Convert 5/8

Converting fractions to decimals is a fundamental skill in mathematics. In this tutorial, we will focus on converting the fraction 5/8 into a decimal. To convert a fraction to a decimal, you simply divide the numerator by the denominator. In this case, dividing 5 by 8 gives us 0.625. To see a step-by-step explanation of this process, check out the video below:

Converting 5 8 to a decimal

When converting the fraction 5/8 to a decimal, we need to divide the numerator (5) by the denominator (8) to get the decimal equivalent. This process involves understanding how fractions and decimals relate to each other and the steps needed to convert between the two forms.

To convert the fraction 5/8 to a decimal, we can use long division where we divide 5 by 8. The quotient will be the decimal representation of the fraction. Let's break down the steps to convert 5/8 to a decimal:

Step 1: Set up the division problem
We start by writing the fraction 5/8 as 5 divided by 8. This is represented as follows in long division:

Step 2: Perform the division
We divide 5 by 8 using long division. The decimal representation of the fraction will be obtained by continuing the division process until we reach the desired level of precision.

Step 3: Interpret the result
The result of dividing 5 by 8 is 0.625. Therefore, the decimal equivalent of the fraction 5/8 is 0.625.