Respuesta :

gmany

[tex]11\dfrac{1}{6}\cdot4\dfrac{2}{7}=\dfrac{11\cdot6+1}{6}\cdot\dfrac{4\cdot7+2}{7}=\dfrac{67}{6}\cdot\dfrac{30}{7}=\dfrac{67}{1}\cdot\dfrac{5}{7}=\dfrac{335}{7}\\\\=47\dfrac{6}{7}[/tex]

You put x from your question its going to be multiply by the fraction.

And it gave us ⇒ [tex]11\frac{1}{6}* 4 \frac{2}{7}[/tex]

First you had to convert by the mixed numbers into improper fractions.

And it gave us ⇒ [tex]=\frac{67}{6}*4\frac{2}{7}[/tex]

Then you convert by the mixed numbers again into improper fractions.

And it gave us ⇒ [tex]\frac{67}{6}* \frac{30}{7}[/tex]

You can also cross it out by the common factor of 6.

And it gave ⇒ [tex]\frac{67}{1}*\frac{5}{7}[/tex]

Next you had to multiply by the fraction.

And it gave us ⇒ [tex]\frac{67*5}{1*7}[/tex]

And then multiply the numbers.

[tex]67*5=335[/tex]

And it gave us ⇒ [tex]\frac{335}{1*7}[/tex]

You can also multiply the numbers again.

[tex]7*1=7[/tex]

And it gave us ⇒ [tex]\frac{335}{7}[/tex]

Finally you had to convert into the improper fraction to mixed their numbers.

[tex]\frac{335}{7}=47 \frac{6}{7}[/tex]

Final answer ⇒ 47 6/7

You can also round up to the nearest tenths is 47.90= 48.00

Hope this helps! And thank you for posting your question at here on brainly, and have a great day. -Charlie