Question

find the value of the expression
\\(6 \frac{3}{4} \div z\\)
for \\(z = \frac{3}{4}\\).
write your answer as a fraction or as a whole or mixed number.

Explanation:

Step1: Convert mixed number to fraction

$6\frac{3}{4} = \frac{6\times4 + 3}{4} = \frac{27}{4}$

Step2: Substitute z into expression

$\frac{27}{4} \div \frac{3}{4}$

Step3: Rewrite division as multiplication

$\frac{27}{4} \times \frac{4}{3}$

Step4: Simplify and calculate

$\frac{27\times4}{4\times3} = \frac{27}{3} = 9$

Answer:

9