Before we evaluate the expression, let's first rewrite the expression so that all of the numbers are fractions.

4 \frac{1}{3} \times \frac{4}{5}

MixedToFrac

$a \frac{b}{c} = \frac{a \cdot c + b}{c}$

\frac{4 \cdot 3 + 1}{3} \times \frac{4}{5}

Multiply

\frac{1 2 + 1}{3} \times \frac{4}{5}

AddTerms

Add terms

\frac{1 3}{3} \times \frac{4}{5}

When we multiply fractions, we need to remember that the product of two fractions is equal to the product of the numerators divided by the product of the denominators. Let's find the given product!

\frac{1 3}{3} \times \frac{4}{5}

MultFrac

Multiply fractions

\frac{1 3 \cdot 4}{3 \cdot 5}

Multiply

\frac{5 2}{1 5}

The quotient is

\frac{5 2}{1 5} .

We can also write this fraction as a mixed number.

\frac{5 2}{1 5}

WriteSum

Write as a sum

\frac{4 5 + 7}{1 5}

WriteSumFrac

Write as a sum of fractions

\frac{4 5}{1 5} + \frac{7}{1 5}

CalcQuot

Calculate quotient

3 + \frac{7}{1 5}

AddTerms

Add terms

3 \frac{7}{1 5}

We found that the product is

3 \frac{7}{1 5} .

This answer corresponds with the option B.

Exercise