# Understanding 5.666 as a Mixed Number

A mixed number is a combination of a whole number and a fraction. It is expressed as a whole number followed by a fractional part. For example, 5 1/2 is a mixed number where 5 is the whole number and 1/2 is the fractional part. 5.666 is a decimal number that can also be expressed as a mixed number.

## Converting 5.666 to a Mixed Number To convert 5.666 to a mixed number, you need to divide the decimal part by the denominator of its equivalent fraction. In this case, 5.666 is equivalent to 5 2/3. To convert it to a mixed number, you will need to divide 6 (the decimal part) by 3 (the denominator). The result is 2 with a remainder of 0. This means that 5.666 is equivalent to 5 2/3 or 5 2 + 0/3 (the whole number followed by the fractional part).

## Calculating with Mixed Numbers Mixed numbers can be used in calculations just like any other number. You can add, subtract, multiply, and divide mixed numbers as long as you remember to convert them to improper fractions first. For example, if you wanted to add 5 2/3 and 4 2/3, you would first convert them to improper fractions (23/3 and 13/3) and then add them together (36/3). The result of the addition would be 12, which is equivalent to 4 1/3.

## Mixed Numbers in Fractions Mixed numbers can also be expressed as fractions. For example, 5 2/3 can be written as the fraction 17/3. To convert a mixed number to a fraction, you must multiply the whole number by the denominator of the fractional part and then add the numerator to the result. For 5 2/3, this would be 5 x 3 + 2 = 17. The fractional part of the mixed number can then be written as 17/3.

## Using Decimals with Mixed Numbers Since mixed numbers and decimals are two different ways of expressing the same number, they can be used interchangeably in calculations. For example, if you wanted to add 5 2/3 and 4.666, you could express them both as decimals (5.666 and 4.666) and add them together. The result would be 10.332, which is equivalent to 10 3/9.

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5.666 is a decimal number that can be expressed as a mixed number. To convert 5.666 to a mixed number, you must divide the decimal part by the denominator of the equivalent fraction. Mixed numbers can be used in calculations just like any other number. They can also be expressed as fractions and used interchangeably with decimals in calculations. Understanding how to use mixed numbers can be a useful skill in math.