Question

\\4 \frac{2}{3} \times 7 =\\

Explanation:

Convert the mixed number to an improper fraction

Using the Improper Fractions knowledge point

$$ 4\frac{2}{3} = \frac{4 \times 3 + 2}{3} = \frac{14}{3} $$

Set up the multiplication with the whole number

Using the Mixed Number Multiplication knowledge point

$$ \frac{14}{3} \times 7 = \frac{14 \times 7}{3} $$

Multiply the numerators

Multiply \(14\) by \(7\) to find the new numerator.

$$ 14 \times 7 = 98 $$

This gives the improper fraction:

$$ \frac{98}{3} $$

Convert the improper fraction back to a mixed number

Using the Simplifying Fractions knowledge point

$$ 98 \div 3 = 32 \text{ with a remainder of } 2 $$

$$ \frac{98}{3} = 32\frac{2}{3} $$

Answer:

\(4\frac{2}{3} \times 7 =\) <blank>\(32\frac{2}{3}\)</blank>