# Math Snap

## (Dividing Rational Numbers MC) Solve $-3 \frac{1}{4} \div 2 \frac{1}{3}$ $-1 \frac{11}{28}$ $-6 \frac{1}{12}$ $-7 \frac{7}{12}$ $1 \frac{11}{28}$

#### STEP 1

Assumptions1. We are dividing two mixed numbers $-3 \frac{1}{4}$ and $\frac{1}{3}$. . We need to convert these mixed numbers into improper fractions before performing the division.
3. The division of fractions is performed by multiplying the first fraction by the reciprocal of the second fraction.

#### STEP 2

First, let's convert $- \frac{1}{4}$ into an improper fraction. The formula to convert a mixed number into an improper fraction is$\text{Improper Fraction} = \text{Whole Number} \times \text{Denominator} + \text{umerator}$

#### STEP 3

Now, plug in the given values for the whole number, denominator, and numerator to calculate the improper fraction.
$\text{Improper Fraction} = -3 \times +1$

#### STEP 4

Calculate the improper fraction for $-3 \frac{1}{4}$.
$\text{Improper Fraction} = -3 \times4 +1 = -12 +1 = -11$So, $-3 \frac{1}{4}$ is equivalent to $-\frac{11}{4}$.

#### STEP 5

Next, let's convert $2 \frac{1}{3}$ into an improper fraction using the same formula.
$\text{Improper Fraction} =2 \times3 +1$

#### STEP 6

Calculate the improper fraction for $2 \frac{1}{3}$.
$\text{Improper Fraction} =2 \times3 +1 =6 +1 =$So, $2 \frac{1}{3}$ is equivalent to $\frac{}{3}$.

#### STEP 7

Now that we have both numbers as improper fractions, we can perform the division. The division of fractions is performed by multiplying the first fraction by the reciprocal of the second fraction.
$\frac{-11}{4} \div \frac{7}{3} = \frac{-11}{4} \times \frac{3}{7}$

#### STEP 8

Perform the multiplication to get the result.
$\frac{-11}{4} \times \frac{3}{7} = \frac{-33}{28}$

##### SOLUTION

Finally, we convert the improper fraction back to a mixed number. The whole number part is the quotient of the division, and the remainder becomes the numerator of the fractional part.
$\frac{-33}{28} = - \frac{11}{28}$So, $-3 \frac{}{4} \div2 \frac{}{3} = - \frac{11}{28}$.
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