47/8 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, 47 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 to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 47/8 as a decimal?

$47/8 as a decimal$ Answer

47/8 in decimals can be written as 5.875. It is a terminating decimal, meaning it ends after a few digits.

Explanation

To convert 47/8 into a decimal, we will use the division method. Here, 47 is larger than 8, so we can directly divide. Let's break down the process step by step:

Step 1: Identify the numerator and denominator. The numerator (47) will be taken as the dividend, and the denominator (8) will be taken as the divisor.

Step 2: Divide 47 by 8. Since 47 is larger than 8, we proceed with the division.

Step 3: 8 fits into 47 five times (since 8 × 5 = 40). We write 5 in the quotient place and subtract 40 from 47, leaving a remainder of 7.

Step 4: Bring down a 0 to make the remainder 70, and divide by 8 again. 8 fits into 70 eight times (since 8 × 8 = 64). Write 8 in the quotient place and subtract 64 from 70, leaving a remainder of 6.

Step 5: Bring down another 0 to make the remainder 60, and divide by 8. 8 fits into 60 seven times (since 8 × 7 = 56). Write 7 in the quotient place and subtract 56 from 60, leaving a remainder of 4.

Step 6: Bring down another 0 to make the remainder 40, and divide by 8. 8 fits into 40 exactly five times (since 8 × 5 = 40), leaving no remainder.

The division process ends with no remainder, meaning 47/8 as a decimal is 5.875.