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Last updated on March 17th, 2025

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15 7/8 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 from the whole. It has two parts: the numerator (the number on the top), here, 7 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 8. 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 15 7/8 as a decimal?

15 7/8 as a decimal

 

Answer

 

15 7/8 in decimal form can be written as 15.875. It is a terminating decimal, meaning it ends after a certain number of decimal places.

 

Explanation

 

To get 15 7/8 in decimal, we need to convert the fractional part 7/8 into a decimal and then add it to the whole number 15. Let's see the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator because the numerator (7) will be taken as the dividend and the denominator (8) will be taken as the divisor.

 

Step 2: Divide 7 by 8 to get the decimal equivalent. Since 8 does not divide into 7 without a remainder, we add a decimal point and a zero, making it 70.

 

Step 3: 8 goes into 70 eight times (8 × 8 = 64). Subtract 64 from 70 to get 6.

 

Step 4: Bring down another zero, making it 60. 8 goes into 60 seven times (8 × 7 = 56). Subtract 56 from 60 to get 4.

 

Step 5: Bring down another zero, making it 40. 8 goes into 40 five times (8 × 5 = 40), with no remainder. The decimal form of 7/8 is 0.875.

 

Therefore, 15 7/8 as a decimal is 15.875.

Professor Greenline from BrightChamps

Important Glossaries for 15 7/8 as a decimal

  • Mixed Number: A whole number combined with a fraction, representing a sum of a whole number and a part.
     
  • 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.
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