Respuesta :
Answer:
[tex]8 \frac{2}{3} [/tex]
Step-by-step explanation:
First let's turn the mixed numbers into improper fractions:
(You can find this by multiplying the whole number × the denominator, and then adding the product to the numerator)
[tex]6 \frac{1}{2} = \frac{13}{2} [/tex]
[tex]1 \frac{1}{3} = \frac{4}{3} [/tex]
Now let's multiply the fractions:
(You simply multiply numerator × numerator and denominator × denominator)
[tex] \frac{13 \: \times \: 4}{ \: \: 2 \: \times \: 3} = \frac{52}{6} [/tex]
Now let's divide:
52 ÷ 6 = 8.6666666
So, we know 6 can go into 52 about eight and and half times. 8 will be the new whole number.
6 × 8 = 48
52 - 48 = 4, the new numerator.
Now we have the fraction:
[tex]8 \frac{4}{6} [/tex]
Let's further simplify this:
[tex] \frac{4 \: \div \: 2 \: = \: 2}{6 \: \div \: 2 \: = \: 3} [/tex]
So, in the end:
[tex]6 \frac{1}{2} \times 1 \frac{1}{3} = 8 \frac{2}{3} [/tex]