1 and 4 over 5 times 2 over 3 as a mixed number

To solve \(1 \frac{4}{5} \times \frac{2}{3}\) as a mixed number, follow these steps:

### Step 1: Convert the Mixed Number to an Improper Fraction
Convert \(1 \frac{4}{5}\) to an improper fraction:

\[
1 \frac{4}{5} = \frac{1 \times 5 + 4}{5} = \frac{9}{5}
\]

### Step 2: Multiply the Fractions
Now, multiply the improper fraction by \(\frac{2}{3}\):

\[
\frac{9}{5} \times \frac{2}{3} = \frac{9 \times 2}{5 \times 3} = \frac{18}{15}
\]

### Step 3: Simplify the Fraction
Simplify \(\frac{18}{15}\) by dividing the numerator and the denominator by their greatest common divisor, which is 3:

\[
\frac{18 \div 3}{15 \div 3} = \frac{6}{5}
\]

### Step 4: Convert Back to a Mixed Number
Convert \(\frac{6}{5}\) back to a mixed number:

\[
\frac{6}{5} = 1 \frac{1}{5}
\]

So, \(1 \frac{4}{5} \times \frac{2}{3} = 1 \frac{1}{5}\).

Would you like more details or have any questions?

### Related Questions:
1. How do you convert any mixed number to an improper fraction?
2. What is the process for multiplying fractions?
3. How do you find the greatest common divisor of two numbers?
4. How do you convert an improper fraction back to a mixed number?
5. How do you simplify complex fractions?

### Tip:
When multiplying fractions, simplify them first if possible—it makes the multiplication easier!

Learn how to multiply the mixed number 1 4/5 by the fraction 2/3 and convert the result to a mixed number. This step-by-step solution covers the conversion of mixed numbers to improper fractions, multiplication of fractions, and simplification of the result. Ideal for students in Grades 5-7.

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