Solve 91/3+1/frac{1{3}}=6

$$9 \frac{ 1 }{ 3 } + \frac{ 1 }{ \frac{ 1 }{ 3 } } = 6$$

Verify

Solution Steps

Multiply both sides of the equation by 3.

$$9\times 3+1+3\times \frac{1}{\frac{1}{3}}=18$$

Multiply 9 and 3 to get 27.

$$27+1+3\times \frac{1}{\frac{1}{3}}=18$$

Add 27 and 1 to get 28.

$$28+3\times \frac{1}{\frac{1}{3}}=18$$

Divide 1 by \frac{1}{3} by multiplying 1 by the reciprocal of \frac{1}{3}.

$$28+3\times 1\times 3=18$$

Multiply 1 and 3 to get 3.

$$28+3\times 3=18$$

Multiply 3 and 3 to get 9.

$$28+9=18$$

Add 28 and 9 to get 37.

$$37=18$$

Compare 37 and 18.

$$\text{false}$$