−7 3/4 convert to improper fraction

Question

ScanSolve AI Tutor · Accepted Answer

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place the result over the original denominator. Keep the negative sign for the entire fraction.

Identify the whole number, numerator, and denominator.
For $-7\frac{3}{4}$ , the whole number is 7, the numerator is 3, and the denominator is 4. The fraction is negative.
Convert the magnitude of the mixed number to an improper fraction.
$7\frac{3}{4} = \frac{(7 \times 4) + 3}{4}$ $= \frac{28 + 3}{4}$ $= \frac{31}{4}$
Apply the negative sign.
Since the original mixed number was negative, the improper fraction will also be negative.
$-7\frac{3}{4} = -\frac{31}{4}$
The improper fraction is $-\frac{31}{4}$ .

-7 3/4 convert to improper fraction

Answer

Step-by-step solution

Identify the whole number, numerator, and denominator.

Convert the magnitude of the mixed number to an improper fraction.

Apply the negative sign.

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