23/20 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

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 23, represents how many parts out of the whole. The denominator (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 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 23/20 as a decimal?

$23/20 as a decimal$

Answer

23/20 in decimals can be written as 1.15. It is a terminating decimal.

Explanation

To convert 23/20 into a decimal, we will use the division method. Let's break down the process step by step:

Step 1: Identify the numerator and denominator because the numerator (23) will be taken as the dividend and the denominator (20) will be the divisor.

Step 2: Divide 23 by 20. Since 23 is larger than 20, we can perform the division directly.

Step 3: 20 goes into 23 one time, so we write 1 in the quotient place. Subtract 20 from 23 to get 3.

Step 4: Bring down a 0 to make it 30 and continue the division.

Step 5: 20 goes into 30 one time, so write 1 in the quotient place after the decimal point, making it 1.1. Subtract 20 from 30 to get 10.

Step 6: Bring down another 0 to make it 100, then divide by 20.

Step 7: 20 goes into 100 five times, completing the division. The division process completes with no remainder, making 23/20 a terminating decimal: 1.15.

Important Glossaries for 23/20 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.