Question

Convert $1\dfrac{4}{{11}}$ into an improper fraction.

Answer 1

Hint: Follow the complete process as a multiply denominator of $11$ times the whole number of $1$ and then add it to the numerator. Simplify the fractions by knowing that it is a proper fraction or improper fraction.

Complete step by step answer:
A fraction is a part of a whole and any number of equal parts. A fraction describes the size of the number. There are three major types of fractions: Proper fraction, improper fraction, improper fraction. A fraction has two parts upper and lower. Fractions are also representing a collection of sets. We can recognize the fraction by a slash that is written between the two numbers.
Fractions can be represented on a number line. The two types of fractions are like and unlike fractions.
Like fractions are those that have the same denominator.
Unlike fractions are those that have different denominators.
Here, the given mixed fraction is converted into an improper fraction by multiplying the whole number part with the fraction's denominator.
Proper fractions are the fractions having a numerator less in degree than the denominator. For Example, the fraction $\dfrac{7}{8}$ is a proper fraction.
Improper fractions are the fractions having denominators less than the numerator. For example, the fraction $\dfrac{8}{7}$ is an improper fraction.
A whole number and a fraction combined together to form a mixed fraction. For example, $2\dfrac{6}{{11}}$ is mixed fraction.
Therefore,
$\Rightarrow 1\dfrac{4}{{11}} = \dfrac{{11 \times 1 + 4}}{{11}}$
By simplification, we will get,
$\Rightarrow 1\dfrac{4}{{11}} = \dfrac{{15}}{{11}}$

Hence, the improper fraction of $1\dfrac{4}{{11}}$ is $\dfrac{{15}}{{11}}$.

Note:
Always multiply denominators with the whole number and then add it with a numerator. Proceed in the same way otherwise, the answer will be wrong. The fraction word is derived from the Latin word ‘fractus’ which means broken.