Solve 9/99text{5.}22/3*42/5=.2

$$\frac { 9 } { 99 } \text { 5. } 2 \frac { 2 } { 3 } \times 4 \frac { 2 } { 5 } = .2$$

Verify

Solution Steps

Multiply both sides of the equation by 495, the least common multiple of 99,3,5.

$$9\times 5\times \frac{2\times 3+2}{3}\left(4\times 5+2\right)=99$$

Multiply 9 and 5 to get 45.

$$45\times \frac{2\times 3+2}{3}\left(4\times 5+2\right)=99$$

Multiply 2 and 3 to get 6.

$$45\times \frac{6+2}{3}\left(4\times 5+2\right)=99$$

Add 6 and 2 to get 8.

$$45\times \frac{8}{3}\left(4\times 5+2\right)=99$$

Express 45\times \frac{8}{3} as a single fraction.

$$\frac{45\times 8}{3}\left(4\times 5+2\right)=99$$

Multiply 45 and 8 to get 360.

$$\frac{360}{3}\left(4\times 5+2\right)=99$$

Divide 360 by 3 to get 120.

$$120\left(4\times 5+2\right)=99$$

Multiply 4 and 5 to get 20.

$$120\left(20+2\right)=99$$

Add 20 and 2 to get 22.

$$120\times 22=99$$

Multiply 120 and 22 to get 2640.

$$2640=99$$

Compare 2640 and 99.

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