Question

What is 8 3/4 ÷ 2 7/8 (show ur work)

Answer 1

`\displaystyle{8 (3)/(4) / 2 (7)/(8) }`

Convert the mixed fractions into improper fractions.

`\displaystyle{ (8 * 4 + 3)/(4) / (8 * 2 + 7)/(8) }`

`\displaystyle{ (32 + 3)/(4) / (16 + 7)/(8) }`

`\displaystyle{ (35)/(4) / (23)/(8) }`

`\displaystyle{ (35)/(4) * (8)/(23) }`

`\displaystyle{ (35)/( \cancel4) * \frac{ \cancel8 {}^(2) }{23} }`

`\displaystyle{ (35 * 2)/(23) }`

`\displaystyle{ (70)/(23) }`

`\displaystyle{3 (1)/(23) }`