Solve 31/3div11/2=22/9

$$3 \frac { 1 } { 3 } \div 1 \frac { 1 } { 2 } = 2 \frac { 2 } { 9 }$$

Verify

Solution Steps

Multiply both sides of the equation by 9.

$$6\times \frac{3\times 3+1}{3}=2\times 9+2$$

Multiply 3 and 3 to get 9.

$$6\times \frac{9+1}{3}=2\times 9+2$$

Add 9 and 1 to get 10.

$$6\times \frac{10}{3}=2\times 9+2$$

Express 6\times \frac{10}{3} as a single fraction.

$$\frac{6\times 10}{3}=2\times 9+2$$

Multiply 6 and 10 to get 60.

$$\frac{60}{3}=2\times 9+2$$

Divide 60 by 3 to get 20.

$$20=2\times 9+2$$

Multiply 2 and 9 to get 18.

$$20=18+2$$

Add 18 and 2 to get 20.

$$20=20$$

Compare 20 and 20.

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