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Last updated on March 18th, 2025

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90 5/8 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 of the whole. It has two parts, numerator (number on the top) and denominator (number below). In this case, 5 is the numerator and 8 is the denominator, indicating 5 parts out of 8. A decimal is a way to represent a number that is not whole, using a decimal point (.) 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.

Professor Greenline from BrightChamps

What is 90 5/8 as a decimal?

90 5/8 as a decimalAnswer

 

90 5/8 in decimals can be written as 90.625. It is a terminating decimal.

 

Explanation

 

To convert 90 5/8 to a decimal, we need to convert the fractional part (5/8) to a decimal and then add it to the whole number (90).

 

Step 1: Identify the numerator (5) and the denominator (8). The fraction 5/8 needs to be converted to a decimal.

 

Step 2: Divide 5 by 8 using long division.

 

Step 3: 5 divided by 8 equals 0.625. This is a terminating decimal because the division ends with a remainder of 0.

 

Step 4: Now, add 0.625 to the whole number 90.

 

Step 5: The final result is 90 + 0.625 = 90.625.

 

Therefore, 90 5/8 as a decimal is 90.625.

Professor Greenline from BrightChamps

Important Glossaries for 90 5/8 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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