Question

How do you solve $\dfrac{5}{8} \div \dfrac{3}{4}$ ?

Answer 1

Hint:So for solving this question we will use the concept of the rule of dividing fractions, and with this, we can be able to solve the problem by using the formula $\dfrac{{\dfrac{a}{b}}}{{\dfrac{c}{d}}} = \dfrac{{a \times d}}{{b \times c}}$ . So by substituting the values, we will get the result for this question.

Formula used:
The rule for dividing fractions,
$\dfrac{{\dfrac{a}{b}}}{{\dfrac{c}{d}}} = \dfrac{{a \times d}}{{b \times c}}$

Complete step by step answer:
We have an equation given as $\dfrac{5}{8} \div \dfrac{3}{4}$ and for solving it we will use the formula to put the number on it. Therefore, substituting the values we will get the equation as
$ \Rightarrow \dfrac{{\dfrac{5}{8}}}{{\dfrac{3}{4}}} = \dfrac{{5 \times 8}}{{3 \times 4}}$
And on solving the division and the multiplication, we will get the equation and on simplifying furthermore we will be able to get the values. Therefore, the equation can be written as
$ \Rightarrow \dfrac{{5 \times 4}}{{3 \times 6}}$
Therefore on solving the above we have the fraction which will be equal to
$ \Rightarrow \dfrac{{5 \times 4}}{{3 \times 6}}$

Hence on solving $\dfrac{5}{8} \div \dfrac{3}{4}$ we will get the equation as $\dfrac{5}{6}$.

Note: For solving this type of question we just need to know the values of the function. And by having the division and the multiplication for the fraction and it will be multiplied by the inverse of the function. From this, we will be able to solve it.