QuestionMultiply and simplify: $4 \cdot 3 \frac{1}{3} = \square$ (Provide a whole number, fraction, or mixed number.)

Studdy Solution

STEP 1

Assumptions1. We are asked to multiply a whole number (4) with a mixed number (31/3). . The result should be in simplest form.

STEP 2

First, we need to convert the mixed number into an improper fraction. The formula to convert a mixed number to an improper fraction is $\text{Improper fraction} = \text{Whole number} \times \text{Denominator} + \text{umerator}$

STEP 3

Now, plug in the values from the mixed number into the formula to get the improper fraction.
$\text{Improper fraction} =3 \times3 +1$

STEP 4

Calculate the value of the improper fraction.
$\text{Improper fraction} =3 \times3 +1 =10$ So, the mixed number $3 \frac{1}{3}$ can be written as $\frac{10}{3}$ .

STEP 5

Now that we have the improper fraction, we can multiply it with the whole number. The formula to multiply a whole number with a fraction is $\text{Whole number} \times \text{Fraction} = \text{Whole number} \times \text{umerator} / \text{Denominator}$

STEP 6

Plug in the values into the formula to get the result.
$4 \times \frac{10}{3} =4 \times10 /3$

STEP 7

Calculate the multiplication.
$4 \times10 /3 =40 /3$ So, the result of $4 \cdot3 \frac{1}{3}$ is $\frac{40}{3}$ or $13 \frac{1}{3}$ in mixed number form.

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