53/20 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 of a whole. It has two parts: numerator (the number on the top) here, 53, 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 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 53/20 as a decimal?

$53/20 as a decimal$

Answer

53/20 in decimals can be written as 2.65. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 53/20 in decimal, we will use the division method. Here 53 is larger than 20, allowing us to divide it directly. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (53) will be taken as the dividend and the denominator (20) will be taken as the divisor.

Step 2: Divide 53 by 20. The number 20 goes into 53 twice, as 20 × 2 = 40. Write 2 in the quotient place.

Step 3: Subtract 40 from 53, which gives a remainder of 13.

Step 4: Bring down a 0 to make it 130. Divide 130 by 20. The number 20 goes into 130 six times, as 20 × 6 = 120. Write 6 in the quotient place.

Step 5: Subtract 120 from 130, which gives a remainder of 10.

Step 6: Bring down another 0 to make it 100. Divide 100 by 20. The number 20 goes into 100 five times, as 20 × 5 = 100. Write 5 in the quotient place. The division process stops here, as the remainder is now 0.

The answer for 53/20 as a decimal is 2.65.

Important Glossaries for 53/20 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.