Question

$\frac{11}{7}$ can be expressed as _____.

• A. 7$\frac{1}{4}$
• B. 4$\frac{1}{7}$
• C. 1$\frac{4}{7}$
• D. 11$\frac{1}{7}$

Answer 1

The correct option is C 1$\frac{4}{7}$

In order to express an improper fraction as a mixed fraction, we first divide the numerator by denominator(divisor) and obtain the quotient and remainder.
Then we write the mixed fraction as,

$Quotient\frac{Remainder}{Divisor}$

Here, the improper fraction is $\frac{11}{7}$.
Now, dividing the numerator(11) by denominator(7) ;
7)11(1
7
4
We get, quotient = 1 and remainder = 4.
$\therefore$ $\frac{11}{7}$ = $Quotient\frac{Remainder}{Divisor}$ = 1$\frac{4}{7}$