Question

Choice equivalent to the expression below 7 3/4 / 1/4=

Answer 1

Answer:

$\displaystyle \frac{7\frac{3}{4}}{\frac{1}{4}}=31$

Step-by-step explanation:

Fractions

We are given the expression:

$\displaystyle \frac{7\frac{3}{4}}{\frac{1}{4}}$

We'll find an equivalent expression that results when simplifying the given fraction.

The numerator is a mixed fraction, which we'll convert into an improper fraction as follows:

$7\frac{3}{4}=7+\frac{3}{4}=\frac{4*7+3}{4}=\frac{31}{4}$

Now it follows:

$\displaystyle \frac{7\frac{3}{4}}{\frac{1}{4}}=\frac{\frac{31}{4}}{\frac{1}{4}}$

Instead of dividing fraction, we multiply by the reciprocal of the denominator:

$\displaystyle \frac{7\frac{3}{4}}{\frac{1}{4}}=\frac{31}{4}\cdot \frac{4}{1}$

Simplifying:

$\mathbf{\displaystyle \frac{7\frac{3}{4}}{\frac{1}{4}}=31}$