Question

Write each fraction as the sum of a whole number and a fraction less than 1

Answer 1

Given:

The fractions are:

$\dfrac{6}{5},\dfrac{11}{7},\dfrac{21}{4}$

To find:

The each fraction as the sum of a whole number and a fraction less than 1.

Solution:

The given fraction is $\dfrac{6}{5}$.

$\dfrac{6}{5}=\dfrac{5+1}{5}$

$\dfrac{6}{5}=\dfrac{5}{5}+\dfrac{1}{5}$

$\dfrac{6}{5}=1+\dfrac{1}{5}$

Therefore, the given fraction $\dfrac{6}{5}$ can be written as $1+\dfrac{1}{5}$.

The given fraction is $\dfrac{11}{7}$.

$\dfrac{11}{7}=\dfrac{7+4}{7}$

$\dfrac{11}{7}=\dfrac{7}{7}+\dfrac{4}{7}$

$\dfrac{11}{7}=1+\dfrac{4}{7}$

Therefore, the given fraction $\dfrac{11}{7}$ can be written as $1+\dfrac{4}{7}$.

The given fraction is $\dfrac{21}{4}$.

$\dfrac{21}{4}=\dfrac{20+1}{4}$

$\dfrac{21}{4}=\dfrac{20}{4}+\dfrac{1}{4}$

$\dfrac{21}{4}=5+\dfrac{1}{4}$

Therefore, the given fraction $\dfrac{21}{4}$ can be written as $5+\dfrac{1}{4}$.