8 3/5 as a decimal

Professor Greenline Explaining Math Concepts

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Intermediate

Advance Topics

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: the numerator (number on the top) here, 3 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 5. A decimal is a way to represent the number that is not whole, using a (.) or 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.

What is 8 3/5 as a decimal?

$8 3/5 as a decimal$

Answer

8 3/5 in decimals can be written as 8.6. This is a terminating decimal.

Explanation

To convert 8 3/5 to a decimal, we need to convert the fractional part to a decimal and then add it to the whole number.

Step 1: Identify the mixed number, which is 8 3/5.

Step 2: Convert the fractional part, 3/5, to a decimal. To do this, divide 3 by 5.

Step 3: Perform the division 3 ÷ 5 = 0.6.

Step 4: Combine the whole number with the fractional decimal, so 8 + 0.6 = 8.6.

Therefore, 8 3/5 as a decimal is 8.6.

Important Glossaries for 8 3/5 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.