25/24 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: numerator (number on the top) here, 25 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 24. 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 25/24 as a decimal?

$25/24 as a decimal$

Answer

25/24 in decimals can be written as 1.04166… It is a non-terminating decimal, showing it will repeat the same digit infinitely.

Explanation

To get 25/24 in decimal, we will use the division method. Here as 25 is larger than 24, we can directly divide. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (25) will be taken as the dividend and the denominator (24) will be taken as the divisor.

Step 2: Divide 25 by 24. The division will give us the whole number part in the quotient.

Step 3: 25 ÷ 24 gives 1 with a remainder of 1.

Step 4: Bring down a 0 to make it 10. 10 ÷ 24 is not possible, so consider it as 100.

Step 5: 24 goes into 100 four times, which gives 96. Write 4 in the quotient. Step 6: Subtract 96 from 100 to get the remainder 4.

Step 7: Bring down another 0 to make it 40. 24 goes into 40 one time, which gives 24. Write 1 in the quotient and repeat the process. Since the division process continues without reaching a remainder of 0, it is a non-terminating decimal.

The answer for 25/24 as a decimal will be 1.04166…