Solve (32/5div17/3)=-12/3

$$( \frac { 32 } { 5 } \div \frac { 17 } { 3 } ) = - 1 \frac { 2 } { 3 }$$

Verify

Solution Steps

Multiply both sides of the equation by 3.

$$3\times \frac{\frac{32}{5}}{\frac{17}{3}}=-\left(1\times 3+2\right)$$

Divide \frac{32}{5} by \frac{17}{3} by multiplying \frac{32}{5} by the reciprocal of \frac{17}{3}.

$$3\times \frac{32}{5}\times \frac{3}{17}=-\left(1\times 3+2\right)$$

Multiply \frac{32}{5} times \frac{3}{17} by multiplying numerator times numerator and denominator times denominator.

$$3\times \frac{32\times 3}{5\times 17}=-\left(1\times 3+2\right)$$

Do the multiplications in the fraction \frac{32\times 3}{5\times 17}.

$$3\times \frac{96}{85}=-\left(1\times 3+2\right)$$

Express 3\times \frac{96}{85} as a single fraction.

$$\frac{3\times 96}{85}=-\left(1\times 3+2\right)$$

Multiply 3 and 96 to get 288.

$$\frac{288}{85}=-\left(1\times 3+2\right)$$

Multiply 1 and 3 to get 3.

$$\frac{288}{85}=-\left(3+2\right)$$

Add 3 and 2 to get 5.

$$\frac{288}{85}=-5$$

Convert -5 to fraction -\frac{425}{85}.

$$\frac{288}{85}=-\frac{425}{85}$$

Compare \frac{288}{85} and -\frac{425}{85}.

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