Answer:
[tex]\displaystyle \frac{7\frac{3}{4}}{\frac{1}{4}}=31[/tex]
Step-by-step explanation:
Fractions
We are given the expression:
[tex]\displaystyle \frac{7\frac{3}{4}}{\frac{1}{4}}[/tex]
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:
[tex]7\frac{3}{4}=7+\frac{3}{4}=\frac{4*7+3}{4}=\frac{31}{4}[/tex]
Now it follows:
[tex]\displaystyle \frac{7\frac{3}{4}}{\frac{1}{4}}=\frac{\frac{31}{4}}{\frac{1}{4}}[/tex]
Instead of dividing fraction, we multiply by the reciprocal of the denominator:
[tex]\displaystyle \frac{7\frac{3}{4}}{\frac{1}{4}}=\frac{31}{4}\cdot \frac{4}{1}[/tex]
Simplifying:
[tex]\mathbf{\displaystyle \frac{7\frac{3}{4}}{\frac{1}{4}}=31}[/tex]