5/8 inch as a Decimal

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top) here, 5, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 8. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 5/8 inch as a decimal?

$5/8 inch as a decimal$ Answer

5/8 in decimals can be written as 0.625. It is a terminating decimal, meaning it ends and does not repeat infinitely.

Explanation

To convert 5/8 into a decimal, we will use the division method. Here, 5 is the numerator, and 8 is the denominator. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend, and the denominator (8) will be taken as the divisor.

Step 2: Divide 5 by 8. As 5 is smaller than 8, the division will involve decimals.

Step 3: Add a decimal point and a zero to make it 50, allowing us to divide.

Step 4: 8 goes into 50 six times (8 × 6 = 48), so we write 6 in the quotient place and subtract 48 from 50, leaving 2.

Step 5: Bring down another 0, making it 20. Divide 20 by 8, which goes 2 times (8 × 2 = 16). Subtract 16 from 20, leaving 4.

Step 6: Bring down another 0, making it 40. Divide 40 by 8, which goes 5 times (8 × 5 = 40), leaving a remainder of 0. The division process ends here, giving us a terminating decimal.

The answer for 5/8 as a decimal is 0.625.