Solve 31/6*22/3=21/6

$$3 \frac { 1 } { 6 } \cdot 2 \frac { 2 } { 3 } = 2 \frac { 1 } { 6 }$$

Verify

Solution Steps

Multiply both sides of the equation by 6, the least common multiple of 6,3.

$$\left(3\times 6+1\right)\times \frac{2\times 3+2}{3}=2\times 6+1$$

Multiply 3 and 6 to get 18.

$$\left(18+1\right)\times \frac{2\times 3+2}{3}=2\times 6+1$$

Add 18 and 1 to get 19.

$$19\times \frac{2\times 3+2}{3}=2\times 6+1$$

Multiply 2 and 3 to get 6.

$$19\times \frac{6+2}{3}=2\times 6+1$$

Add 6 and 2 to get 8.

$$19\times \frac{8}{3}=2\times 6+1$$

Express 19\times \frac{8}{3} as a single fraction.

$$\frac{19\times 8}{3}=2\times 6+1$$

Multiply 19 and 8 to get 152.

$$\frac{152}{3}=2\times 6+1$$

Multiply 2 and 6 to get 12.

$$\frac{152}{3}=12+1$$

Add 12 and 1 to get 13.

$$\frac{152}{3}=13$$

Convert 13 to fraction \frac{39}{3}.

$$\frac{152}{3}=\frac{39}{3}$$

Compare \frac{152}{3} and \frac{39}{3}.

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