QuestionConvert the mixed number $-6 \frac{3}{4}$ to an improper fraction.

Studdy Solution

STEP 1

Assumptions1. The mixed number is $-6 \frac{3}{4}$ . We need to convert this mixed number into an improper fraction

STEP 2

A mixed number consists of a whole number and a fraction. To convert a mixed number to an improper fraction, we multiply the whole number by the denominator of the fraction and add the numerator. This becomes the new numerator, and the denominator remains the same.
$\text{Improper Fraction} = \text{Whole Number} \times \text{Denominator} + \text{umerator}$

STEP 3

Now, plug in the given values for the whole number, denominator and numerator to calculate the new numerator.
$\text{Improper Fraction} = -6 \times +3$

STEP 4

Calculate the new numerator.
$\text{Improper Fraction} = -24 +3$

STEP 5

Calculate the final value of the new numerator.
$\text{Improper Fraction} = -21$

STEP 6

Now that we have the new numerator, we can write the improper fraction. The denominator remains the same as in the original mixed number.
$\text{Improper Fraction} = -\frac{21}{4}$ The mixed number $-6 \frac{3}{4}$ converts to the improper fraction $-\frac{21}{4}$ .

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