Question

What is the half of \[1\dfrac{1}{3}\] cups?

Answer 1

Hint: In order to determine the half of \[1\dfrac{1}{3}\] cups. By solving this problem we must need to convert the mixed fraction into an improper fraction. Then we can easily find the half from the total. If the answer we get is in improper fraction, finally we should change it into mixed fraction.

Complete step-by-step answer:
First, we have to convert the mixed fraction \[1\dfrac{1}{3}\] into an improper fraction.
To get improper fraction multiply the whole number \[1\] by the denominator \[3\] i.e., \[3 \times 1 = 3\] and add the result \[3\] with the numerator \[1\] i.e., \[3 + 1 = 4\] now replace the numerator by find answer \[4\].
\[1\dfrac{1}{3} = \dfrac{4}{3}\]
Now, we want to find the half of \[\dfrac{4}{3}\].
The word half suggests us to divide it into two parts which means dividing it by \[2\].
Let us divide \[\dfrac{4}{3}\] by \[2\] to find the half.
\[\dfrac{4}{3} \div 2\]
\[\Rightarrow \dfrac{{\dfrac{4}{3}}}{2}\]
Any number without a denominator means that number’s denominator is \[1\] .
Therefore the above number takes the form,
\[\Rightarrow \dfrac{{\dfrac{4}{3}}}{{\dfrac{2}{1}}}\]
We want to convert this double fraction by taking the reciprocal of the denominator then the denominator will associate in multiplication. Now we will get,
\[\Rightarrow \dfrac{4}{3} \times \dfrac{1}{2}\]
We can’t simplify further when multiplies numerator with numerator and denominator with denominator we will get,
\[\Rightarrow \dfrac{4}{6}\]
This can be further simplified by dividing it by \[2\].
Now we will get,
\[\Rightarrow \dfrac{2}{3}\]
Therefore, we can say that the half of \[1\dfrac{1}{3}\] cups is \[\dfrac{2}{3}\] .
So, the correct answer is “\[\dfrac{2}{3}\]”.

Note: When simplifying fractions we should remind certain things:
1) When the question is in a mixed fraction we should change it into an improper fraction and then only start to simplify.
2) The word half suggests us to divide it into two parts which means dividing it by \[2\].