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Last updated on March 11th, 2025

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6 3/5 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 mixed number is a combination of a whole number and a fraction. In 6 3/5, 6 is the whole number, and 3/5 is the fraction part. A fraction represents a part of a whole, with the numerator on top and the denominator below. A decimal uses a 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 6 3/5 as a decimal?

6 3/5 as a decimal

 

Answer

 

6 3/5 in decimal form can be written as 6.6. This is a terminating decimal.

 

Explanation

 

To convert 6 3/5 into a decimal, we first convert the fraction 3/5 into a decimal.

 

Step 1: Identify the numerator and denominator in the fraction 3/5. The numerator (3) is the dividend, and the denominator (5) is the divisor.

 

Step 2: Divide 3 by 5. Since 3 is smaller than 5, we use decimals to perform the division.

 

Step 3: Add a decimal point and a zero to the dividend, making it 30, and place a decimal point in the quotient.

 

Step 4: Divide 30 by 5, which equals 6.

 

Step 5: Thus, 3/5 as a decimal is 0.6.

 

Step 6: Combine this decimal with the whole number 6, resulting in 6.6.

 

The answer for 6 3/5 as a decimal is 6.6.

Professor Greenline from BrightChamps

Important Glossaries for 6 3/5 as a decimal

  • Mixed Number: A number consisting of a whole number and a fraction.

 

  • 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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