Question

Show me your work!

Divide: 2 3/4 / 1 1/2

A) 1 2/3

B) 1 5/6

C) 1 1/4

D) 2 5/6

Answer 1

`B) 1(5)/(6)`

Explanation:

Fraction division:

Convert mixed fraction to improper fraction.

`2(3)/(4)=(11)/(4)\\\\\\1(1)/(2)=(3)/(2)`

Use KCF method

• Keep the first fraction.
• Change division to multiplication.
• Flip the second fraction.

`\sf (11)/(4) \ / \ (3)/(2)=(11)/(4)*(2)/(3)`

`\sf =(11)/(2*3)\\\\\\=(11)/(6)\\\\=1(5)/(6)`