Respuesta :

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]

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