Question

What is \[\dfrac{1}{2}\] divided by \[\dfrac{1}{5}\]?

Answer 1

Hint: A fraction is a part of the whole number it consists of two parts numerator and a denominator. First if we have a mixed fraction then need to convert the given mixed fraction into an improper fraction. If we have two proper fractions we can divide it.

Complete step-by-step solutions:
Now we need to divide \[\dfrac{1}{2}\] and \[\dfrac{1}{5}\].
That is \[\dfrac{1}{2} \div \dfrac{1}{5}\]
Now reciprocate the second fraction by interchanging its numerator with the denominator. Multiply the second fraction with the first one by multiplying the numerator and denominator with each other.
\[ \Rightarrow \dfrac{1}{2} \times \dfrac{5}{1}\]
\[ \Rightarrow \dfrac{{1 \times 5}}{{2 \times 1}}\]
\[ \Rightarrow \dfrac{5}{2}\]. This is the exact form.
\[ \Rightarrow 2.5\].
This is the decimal form.

Thus the required answer is 2.5.

Note: We have different types of fractions. Proper fraction: A fraction in which the numerator is less than the denominator is known as a proper fraction. Example \[\dfrac{1}{4}\]. Improper fraction: A fraction where the numerator is greater than the denominator then it is known as an improper fraction. Example \[\dfrac{5}{4}\]. Mixed fraction: A mixed fraction refers to the combination of the natural number and the fraction. Example \[1\dfrac{1}{4}\].