Question

1. $8 - g div \frac{7}{8}; g = \frac{5}{6}$

Explanation:

Step1: Substitute $g=\frac{5}{6}$

$8 - \frac{5}{6} \div \frac{7}{8}$

Step2: Rewrite division as multiplication

$8 - \frac{5}{6} \times \frac{8}{7}$

Step3: Calculate the product

$8 - \frac{5 \times 8}{6 \times 7} = 8 - \frac{40}{42} = 8 - \frac{20}{21}$

Step4: Convert to common denominator

$\frac{168}{21} - \frac{20}{21}$

Step5: Subtract the fractions

$\frac{168 - 20}{21} = \frac{148}{21}$

Answer:

$\frac{148}{21}$ or $7\frac{1}{21}$