Answer:
204
Step-by-step explanation:
Given the following question:
[tex]10\frac{2}{3} \times3\times6\frac{3}{8}[/tex]
In order to solve we will convert the mixed numbers into improper fractions and then solve by multiplying the numerators by the numerators and multiplying the denominators by the denominators.
[tex]10\frac{2}{3} \times3\times6\frac{3}{8}[/tex]
[tex]10\frac{2}{3} \times3[/tex]
[tex]10\frac{2}{3} =3\times10=30+2=32=\frac{32}{3}[/tex]
[tex]3=\frac{3}{1}[/tex]
[tex]\frac{32}{3} \times\frac{3}{1}[/tex]
[tex]32\times3=96[/tex]
[tex]3\times1=3[/tex]
[tex]=\frac{96}{3}[/tex]
[tex]\frac{96}{3}\times6\frac{3}{8}[/tex]
[tex]6\frac{3}{8} =8\times6=48+3=51=\frac{51}{8}[/tex]
[tex]\frac{96}{3}\times\frac{51}{8}[/tex]
[tex]96\times51=4896[/tex]
[tex]3\times8=24[/tex]
[tex]=\frac{4986}{24}[/tex]
Simplify by reducing:
[tex]=\frac{4986}{24}\div2=\frac{2493}{12}[/tex]
[tex]=\frac{2493}{12}[/tex]
[tex]\frac{2493}{12}[/tex]
[tex]=\frac{2493}{12}=2493\div12=204[/tex]
[tex]=204[/tex]
Your answer is indeed "204."
Hope this helps.
