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Last updated on March 17th, 2025

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4 18/25 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 from the whole. It has two parts, numerator (number on the top) here, 18 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 25. 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 that to the right represents the fractional part.

Professor Greenline from BrightChamps

What is 4 18/25 as a decimal?

4 18/25 as a decimal

Answer

 

4 18/25 in decimals can be written as 4.72. It is a terminating decimal, meaning it does not repeat.

 

Explanation

 

To get 4 18/25 in decimal, we will use division for the fractional part. The whole number part is 4, which remains the same in the decimal form. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the whole number and the fraction. The whole number is 4 and the fraction is 18/25.

 

Step 2: Convert the fraction 18/25 to a decimal. The numerator (18) will be taken as the dividend and the denominator (25) as the divisor.

 

Step 3: Divide 18 by 25. Since 18 is smaller than 25, we will use the decimal method, making it 180 by adding a decimal point and a zero.

 

Step 4: Divide 180 by 25. 25 goes into 180 seven times (25 × 7 = 175). Write 7 in the quotient place and subtract 175 from 180, which gives 5.

 

Step 5: Bring down another 0 to make it 50. 25 goes into 50 two times (25 × 2 = 50). Write 2 in the quotient place, and subtracting 50 from 50 gives 0.

 

Thus, 18/25 as a decimal is 0.72. Combining with the whole number, 4 18/25 as a decimal is 4.72.

Professor Greenline from BrightChamps

Important Glossaries for 4 18/25 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.
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