Question

2/3÷2⁴+(3/4+1/6)÷1/3
How do you figure this out

Answer 1

Answer: $\frac{67}{24}$

Step-by-step explanation:

$\frac{2}{3} /2^{4}+(\frac{3}{4} +\frac{1}{6})/\frac{1}{3} \\\\\frac{2}{3} /2^{4}+ \frac{11}{12} /\frac{1}{3} = \frac{2}{3} /16+ \frac{11}{12} /\frac{1}{3}$

Use the rule a÷b/c=a*c/b

$\frac{2}{3} *\frac{1}{16}+ \frac{11}{12}/ \frac{1}{3}$

Use the rule a/b*c/d=ac/bd

$\frac{2}{3*16}+ \frac{11}{12}/ \frac{1}{3} \\\\\frac{2}{48} +\frac{11}{12}/ \frac{1}{3} \\\\\frac{1}{24}+\frac{11}{12}/\frac{1}{3}$

Use the rule a÷b/c=a*c/b

$\frac{1}{24} +\frac{11}{12} *3$

Use the rule a/b*c=ac/b

$\frac{1}{24}+ \frac{11*3}{12}$

Simplify three times then you're done.

$\frac{1}{24}+ \frac{33}{12}= \frac{1}{24}+ \frac{11}{4} =\frac{67}{24}$

Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! As well as a great Superbowl Weekend! :-)

- Cutiepatutie ☺❀❤