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Last updated on March 17th, 2025

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77/2 as a Decimal

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
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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 77, which represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole; here it is 2. 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.

Professor Greenline from BrightChamps

What is 77/2 as a decimal?

77/2 as a decimal

 

Answer

 

77/2 in decimals can be written as 38.5. It is a terminating decimal, as it ends after one decimal place.

 

Explanation

 

To get 77/2 in decimal, we will use the division method. Here, 77 is larger than 2, so we can divide directly. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (77) will be taken as the dividend and the denominator (2) will be taken as the divisor.

 

Step 2: Divide 77 by 2. Determine how many times 2 fits into 77. Step 3: 2 goes into 77 a total of 38 times, since 2 × 38 = 76.

 

Step 4: Subtract 76 from 77, which gives a remainder of 1.

 

Step 5: Bring down a 0 to make it 10, then repeat the division process.

 

Step 6: 2 goes into 10 exactly 5 times, since 2 × 5 = 10, with no remainder.

 

The division process ends here, and the answer for 77/2 as a decimal is 38.5.

Professor Greenline from BrightChamps

Important Glossaries for 77/2 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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