Questions: Multiply. Write your answer as a fraction or as a whole or mixed number.
1 1/3 × 4 1/2=
Multiply. Write your answer as a fraction or as a whole or mixed number.
1 1/3 × 4 1/2=
Solution
Solution Steps
To multiply mixed numbers, first convert them to improper fractions. Then, multiply the numerators together and the denominators together. Finally, simplify the resulting fraction if possible.
Step 1: Convert Mixed Numbers to Improper Fractions
First, we convert the mixed numbers to improper fractions:
\[
1 \frac{1}{3} = \frac{4}{3}
\]
\[
4 \frac{1}{2} = \frac{9}{2}
\]
Step 2: Multiply the Improper Fractions
Next, we multiply the improper fractions:
\[
\frac{4}{3} \times \frac{9}{2} = \frac{4 \times 9}{3 \times 2} = \frac{36}{6}
\]
Step 3: Simplify the Fraction
Finally, we simplify the resulting fraction:
\[
\frac{36}{6} = 6
\]