A mixed number, also known as a mixed fraction, is a combination of a whole number and a fraction. It is written in the form of a+b/c, where a is the whole number, b is the numerator, and c is the denominator. The fractional part of the mixed number is also known as a proper fraction, as the numerator is less than the denominator. To convert a fraction to a mixed number, the numerator must be divided by the denominator.
In the case of 56/3, the numerator is 56 and the denominator is 3. This fraction can be easily converted to a mixed number by dividing the numerator by the denominator. Dividing 56 by 3 gives us 18 with a remainder of 2. This means that the fraction 56/3 is equal to 18 2/3. The whole number part of the mixed number is 18 and the fractional part is 2/3.
To find the decimal equivalent of the mixed number, we must first convert the fractional part to a decimal. Since 2/3 can be simplified to 2 divided by 3, it can be written as 0.666666. Adding this to the whole number part gives us 18.666666, which is the decimal equivalent of the mixed number.
To convert a mixed number to an improper fraction, we must first multiply the whole number part by the denominator. In this case, 18 multiplied by 3 gives us 54. We then add the numerator to this result, giving us 54 + 2 = 56. The final result is 56/3, which is the same fraction we started with.
Conclusion
The fraction 56/3 can be written as a mixed number in the form of 18 2/3. The decimal equivalent of this mixed number is 18.666666, and it can be converted back to an improper fraction by multiplying the whole number part by the denominator and then adding the numerator to the result.
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