Question

Which of the following is not equivalent to $\frac{78}{8}$

• A. $\frac{195}{20}$
• B. $9.75$
• C. $97.50$

Answer 1

The correct option is C $97.50$

First, simplify the expression.

$\frac{78}{8}=\frac{2\times 39}{2\times 4}$
(canceling the common terms)
$=\frac{39}{4}$

Now, convert the denominator into a power of $10.$
We know that $4\times 25=100$
$\therefore$ Multiply numerator and denominator by $25.$

$\frac{39\times 25}{4\times 25}=\frac{975.0}{100}$
(shifting the decimal point leftwards according to the number of zeros followed by $1$ in the denominator)
$=\frac{9.750}{1}=9.75$

Also, $\frac{39}{4}=\frac{195}{20}$ (on multiplying numerator and denominator by 5.