Question

How do you write \[3\dfrac{5}{6}\] as a decimal number rounded to four decimal places?

Answer 1

Hint: Here in this question, first we have to convert the mixed fraction into the improper fraction. By using the addition and multiplication which are arithmetic operations, then after we have to convert improper fraction into decimal by dividing the numerator number by the number which is in the denominator and on further simplification we get the required solution.

Complete step-by-step solution:
The question is based on the fractions. As we know that the fractions are of 3 kinds, Proper fraction, Improper fraction and Mixed fraction. If the value of numerator is less than the value of denominator in the fraction then it is Proper fraction. If the value of the numerator is more than the value of the denominator in the fraction then it is Improper fraction. The whole and fraction is combined together then it is mixed fraction.

Now consider the given fraction \[3\dfrac{5}{6}\]
To convert the fraction we multiply the number which is in the denominator to the whole number. So on multiplying 3 and 6 we get 18. To this number add the number 5. On adding the 18 and 5 we get 23. The number 23 is placed in the numerator in the fraction we have
\[ \Rightarrow \,\,\dfrac{{23}}{6}\]

To convert the fraction into the decimal number we divide the numerator by denominator. So here we divide 23 by 6.

Hence, we have converted the fraction into decimal and obtained the answer.
So, the decimal form of \[\dfrac{{23}}{6}\] is 3.8333.
Hence a decimal form of the fraction \[3\dfrac{5}{6}\] is 3.8333.

Note: The number can be converted from one form to the other form. For the conversion of numbers, we have some rule or method. By using the specific methods and rules we can convert the number. The fraction number has a numerator and denominator. The decimal number will have the decimal point. While conversion we use the arithmetic operations such as division and multiplication.