Question

How do you write \[2\dfrac{1}{3}\] as an improper fraction.

Answer 1

Hint: Here in this question we have to convert the mixed fraction into the improper fraction. Firstly we know the definition of the proper fraction, improper fraction and mixed fraction. To convert the mixture we have to multiply the denominator value to the whole number and then we are going to add the product to the numerator, then it has been converted into an improper fraction.

Complete step by step answer:
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 a Proper fraction. For example: \[\dfrac{3}{5},\dfrac{2}{4},\dfrac{8}{3},...\]

If the value of numerator is more than the value of denominator in the fraction then it is an Improper fraction. For example: \[\dfrac{{12}}{5},\dfrac{{21}}{4},\dfrac{{88}}{3},...\]
The whole and fraction is combined together then it is a mixed fraction.
For example: \[2\dfrac{3}{2},5\dfrac{2}{8},9\dfrac{8}{3},...\]
Now here in this question we have to convert the mixed fraction into improper fraction.

The steps are given below:
-Multiply the whole number part by the fraction's denominator.
-Add that to the numerator.
-Then write the result on top of the denominator.
By following these steps we convert \[2\dfrac{1}{3}\] into an improper fraction.
-Multiply the 3 and 2, we have
\[ \Rightarrow 3 \times 2 = 6\]
-Add 6 and 1, we have
\[ \Rightarrow 6 + 1 = 7\]
-This result will be written in the numerator and denominator value will be the same.The resultant improper fraction is \[\dfrac{7}{3}\]. Hence we have converted the mixed fraction into improper fraction.

Note: The proper fractions and improper fractions can be converted into the mixed fraction by the division rule. The solution is also written using the division rule. The table of multiplication should be known to divide the number. The mixed fraction can also convert into the proper or improper fraction.