5 6/10 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, mixed numbers, and decimals. A fraction represents a part of a whole. It has two parts, numerator (number on the top) here, 6 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 10. A mixed number consists of a whole number and a fraction, such as 5 6/10. A decimal is a way to represent numbers that are not whole, using a (.) or a decimal point to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole part, and those to the right represent the fractional part.

What is 5 6/10 as a decimal?

$5 6/10 as a decimal$

Answer

5 6/10 as a decimal can be written as 5.6. It is a terminating decimal, meaning it ends after one decimal place.

Explanation

To convert 5 6/10 to a decimal, we first convert the fraction 6/10 into decimal form. Then, we add it to the whole number 5.

Step 1: Identify the whole number and the fraction. Here, 5 is the whole number, and 6/10 is the fraction.

Step 2: Convert the fraction 6/10 into a decimal. Since the denominator is 10, we can directly write it as 0.6.

Step 3: Add the decimal value of the fraction to the whole number. So, 5 + 0.6 = 5.6.

The decimal representation of 5 6/10 is 5.6.

Important Glossaries for 5 6/10 as a decimal

Mixed Number: A number consisting of an integer 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.
Terminating Decimal: A decimal that ends and does not repeat infinitely.