Question

Convert each of the following into a mixed fraction: $\dfrac{{226}}{{15}}$

Answer 1

Hint:
here, we have given the rational number and we have to convert it in mixed fraction. For a mixed fraction we have to divide the numerator by denominator and then write it in the form of $x\dfrac{y}{z}$ where x = quotient, y = remainder and z = denominator.

Complete step by step solution:
Here, we have given the fraction which is $ = \dfrac{{226}}{{15}}$

On dividing 226 by 15 we will get quotient as the 15 and remainder 1.

Therefore, mixed fraction form $15\dfrac{1}{{15}}$

Note:
A mixed fraction is a simplest form to express an improper fraction i.e. the fractional number which has a numerator bigger than a denominator. If we want to convert the the mixed fraction $x\dfrac{y}{z}$ in to the improper fraction $\dfrac{y}{z}$ we have to multiply z with x and add y the denominator would remain same and the numerator equals to $z \times x + y$ .