47/20 as a Decimal

Professor Greenline Explaining Math Concepts

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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 (the number on the top) here, 47 represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 20. 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 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 47/20 as a decimal?

$47/20 as a decimal$

Answer

47/20 in decimals can be written as 2.35. It is a terminating decimal, meaning it ends and does not repeat infinitely.

Explanation

To convert 47/20 into a decimal, we will use the division method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (47) will be taken as the dividend and the denominator (20) will be taken as the divisor.

Step 2: Divide 47 by 20. Since 47 is greater than 20, we can perform the division directly.

Step 3: Determine how many times 20 fits into 47. It fits twice, as 20 × 2 = 40.

Step 4: Write 2 in the quotient place and subtract 40 from 47, which gives a remainder of 7.

Step 5: Bring down a 0 and continue the division process. 70 divided by 20 is 3, with a remainder of 10.

Step 6: Bring down another 0 to make 100, and divide by 20 to get 5, with no remainder. The process ends here as we reach a remainder of 0, making it a terminating decimal.

The answer for 47/20 as a decimal is 2.35.