Question

Find the quotient

a.4/27

b.-4/27

c.-1 1/3

d.1 1/3

Answer 1

It should be noted:

• If a fraction is being divided, the divisor will become it's reciprocal and the sign changes to a multiplication sign.

Finding the quotient.

• -4/9 ÷ -1/3
• => -4/9 x -3

Multiplying both terms.

• => -4/9 x -3
• => 12/9

Simplifying the fraction

• => 12/9
• => 4 x 3/3 x 3
• => 4/3

Converting the fraction into mixed fraction

• => 4/3 = 1 1/3 (Option D)

Option D is correct.

Answer 2

`\sf 1(1)/(3)`

Step-by-step explanation:

`\hookrightarrow \sf (-4)/(9) / (-1)/(3)`

manipulate sides by changing signs

`\hookrightarrow \sf(-4)/(9) *(3)/(-1)`

simplify by multiplication

`\hookrightarrow \sf (-12)/(-9)`

the negatives cancels out

`\hookrightarrow \sf (12)/(9)`

simplify

`\hookrightarrow \sf (4)/(3)`

turn this into mixed fraction

`\hookrightarrow \sf 1(1)/(3)`