What is 2 2/5 * 1 2/3?
Understand the Problem
The question is asking to multiply two mixed fractions. The first fraction is 2 and 2/5 and the second fraction is 1 and 2/3. You should first convert each mixed fraction to an improper fraction, then multiply the numerators and the denominators separately, and finally simplify the resulting fraction if possible.
Answer
$4$
Answer for screen readers
$4$
Steps to Solve
- Convert the mixed fraction $2\frac{2}{5}$ to an improper fraction
To convert a mixed fraction to an improper fraction, multiply the whole number by the denominator and add the numerator. Then, put the result over the original denominator. $2\frac{2}{5} = \frac{(2 \times 5) + 2}{5} = \frac{10 + 2}{5} = \frac{12}{5}$
- Convert the mixed fraction $1\frac{2}{3}$ to an improper fraction
Similar to the previous step, convert $1\frac{2}{3}$ to an improper fraction. $1\frac{2}{3} = \frac{(1 \times 3) + 2}{3} = \frac{3 + 2}{3} = \frac{5}{3}$
- Multiply the two improper fractions
Multiply the numerators and the denominators separately. $\frac{12}{5} \times \frac{5}{3} = \frac{12 \times 5}{5 \times 3} = \frac{60}{15}$
- Simplify the resulting fraction
Divide both the numerator and the denominator by their greatest common divisor (GCD), which is 15. $\frac{60}{15} = \frac{60 \div 15}{15 \div 15} = \frac{4}{1} = 4$
$4$
More Information
The result of multiplying $2\frac{2}{5}$ by $1\frac{2}{3}$ is 4.
Tips
A common mistake is not converting the mixed fractions to improper fractions before multiplying. Another common mistake is incorrectly simplifying the fraction after multiplication.
AI-generated content may contain errors. Please verify critical information
