Respuesta :

Answer:

4/9 and 1/64

Step-by-step explanation:

Do PEMDAS:

  1. Parentheses
  2. Exponents
  3. Multiplication
  4. Division
  5. Addition
  6. Subtraction

There are no parentheses or exponents, so move onto step 3 Multiplication

[tex]2 \div \frac{3}{4} \times 6[/tex]

[tex] \frac{3}{4} \times \frac{6}{1} = \frac{18}{4} [/tex]

[tex]2 \div \frac{18}{4} = \frac{2}{1} \times \frac{4}{18} = \frac{8}{18} = \frac{4}{9} [/tex]

4/9 is the answer to the first problem

Again there are no parentheses or exponents, so move onto multiplication

[tex] \frac{1}{2} \div 4 \times 8[/tex]

[tex] \frac{1}{2} \div 32 = \frac{1}{2} \times \frac{1}{32} = \frac{1}{64} [/tex]

1/64 is the answer to the second problem