Question

What is \[1\dfrac{1}{4}\] cups divided by 2?

Answer 1

Hint: Now to solve the given problem we will first convert the mixed fraction into normal fraction by using the identity $a\dfrac{b}{c}=\dfrac{ac+b}{c}$ . Now we will multiply the obtained number by $\dfrac{1}{2}$ . Hence we will get the solution to the given problem.

Complete step by step solution:
Now to solve the given problem we will first understand the concept of mixed fractions.
Mixed fractions are fractions written with integers in the form $a\dfrac{b}{c}$ where a, b and c are integers.
Now we can simply convert mixed fractions into normal fractions.
We know that $a\dfrac{b}{c}=\dfrac{ac+b}{c}$ . Hence using this we can convert the mixed fractions into normal fractions. Here in the given example mixed fraction is $1\dfrac{1}{4}$ hence a = 1, b = 1 and c = 4.
Now converting the given mixed fraction into normal fraction we get, $\dfrac{1\times 4+1}{4}$ .
Hence the given fraction can be written as $\dfrac{5}{4}$ .
Now we want to find the value of \[1\dfrac{1}{4}\] divided by 2.
Hence we want to find the value of $\dfrac{5}{4}$ divided by 2.
Now dividing by 2 is the same as multiplying the number by $\dfrac{1}{2}$.
Hence consider $\dfrac{5}{4}\times \dfrac{1}{2}$
Now the value of above expression is $\dfrac{5}{8}$
Hence we get the value of \[1\dfrac{1}{4}\] divided by 2 is $\dfrac{5}{8}$.

Note: Now note that mixed fractions are nothing but addition of an integer and fraction. Now we know that to add two fractions their denominator must be the same. Hence taking LCM we can add an integer and a fraction.