5/4 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 the whole. It has two parts: the numerator (number on the top), here 5, representing how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 4. A decimal is a way to represent the 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 5/4 as a decimal?

$5/4 as a decimal$

Answer

5/4 in decimals can be written as 1.25. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 5/4 in decimal, we will use the division method. Here, 5 is greater than 4, so we will divide directly. 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 (4) will be taken as the divisor.

Step 2: Divide 5 by 4. Since 5 is greater than 4, we can divide it directly.

Step 3: 4 goes into 5 one time, so we write 1 in the quotient place. Subtract 4 from 5 to get 1.

Step 4: Bring down a 0 to make it 10. Divide 10 by 4 to get 2. Write 2 in the quotient place, and subtract 8 from 10 to get 2.

Step 5: Bring down another 0 to make it 20. Divide 20 by 4 to get 5. Write 5 in the quotient place, and subtract 20 from 20 to get 0. As the remainder is 0, the division ends here.

The answer for 5/4 as a decimal is 1.25.