5/8 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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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 from 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 as a decimal?

$5/8 as a decimal$ Answer

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

Explanation

To convert 5/8 into a decimal, we will use the division method. Since 5 is smaller than 8, we will use the decimal method to find the answer 0.625. 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 the divisor.

Step 2: As 5 is smaller than 8, it can't be divided, so we will use decimals. We will add 0, making 5 into 50, and add a decimal point in the quotient place.

Step 3: Now that it is 50, we can divide it by 8. Let's see how many times 8 fits into 50.

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

Step 5: Bring down another 0 in the dividend place to make it 20, and continue the division process.

Step 6: 8 goes into 20 two times because 8 × 2 = 16. Write 2 in the quotient place and subtract 16 from 20, leaving 4.

Step 7: Bring down another 0 to make it 40, and continue. 8 goes into 40 five times because 8 × 5 = 40. Subtracting gives a remainder of 0, ending the division process.

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

Important Glossaries for 5/8 as a decimal

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
Denominator: The bottom part of a fraction, showing how many parts make up a whole.
Terminating Decimal: A decimal that ends and does not repeat infinitely.