Respuesta :
The answer is 3 8/9 because you turn it into a mixed number which is 5/3*7/3. Once you multiply you get 35/9. Since it is an improper fraction you turn it into a mixed number by dividing 35/9. In the end, you get 3 8/9 as your final answer.
First convert them into improper fractions.
[tex]\sf 1\dfrac{2}{3}\times 2\dfrac{1}{3}[/tex]
To convert into an improper fraction, keep the denominator the same, multiply the denominator to the whole number and add it to the numerator.
[tex]\sf 3\times 1+2=5[/tex]
[tex]\sf 3\times 2+1=7[/tex]
So we have:
[tex]\sf\dfrac{5}{3}\times\dfrac{7}{3}[/tex]
Now multiply the numerators and denominators together:
[tex]\sf\dfrac{35}{9}[/tex]
Revert back to mixed number form. Nine goes into thirty-five three times.
9 * 3 = 27
35 - 27 = 8
So we will have 3 and 8/9 left over or [tex]\boxed{\sf 3\dfrac{8}{9}}[/tex]
[tex]\sf 1\dfrac{2}{3}\times 2\dfrac{1}{3}[/tex]
To convert into an improper fraction, keep the denominator the same, multiply the denominator to the whole number and add it to the numerator.
[tex]\sf 3\times 1+2=5[/tex]
[tex]\sf 3\times 2+1=7[/tex]
So we have:
[tex]\sf\dfrac{5}{3}\times\dfrac{7}{3}[/tex]
Now multiply the numerators and denominators together:
[tex]\sf\dfrac{35}{9}[/tex]
Revert back to mixed number form. Nine goes into thirty-five three times.
9 * 3 = 27
35 - 27 = 8
So we will have 3 and 8/9 left over or [tex]\boxed{\sf 3\dfrac{8}{9}}[/tex]