Solve 4(1/3)^2/2+11/4/9=1

$$\frac { 4 ( \frac { 1 } { 3 } ) ^ { 2 } } { 2 } + \frac { 1 \frac { 1 } { 4 } } { 9 } = 1$$

Verify

Solution Steps

Multiply both sides of the equation by 18, the least common multiple of 2,9.

$$9\times 4\times \left(\frac{1}{3}\right)^{2}+2\times \frac{1\times 4+1}{4}=18$$

Multiply 9 and 4 to get 36.

$$36\times \left(\frac{1}{3}\right)^{2}+2\times \frac{1\times 4+1}{4}=18$$

Calculate \frac{1}{3} to the power of 2 and get \frac{1}{9}.

$$36\times \frac{1}{9}+2\times \frac{1\times 4+1}{4}=18$$

Multiply 36 and \frac{1}{9} to get \frac{36}{9}.

$$\frac{36}{9}+2\times \frac{1\times 4+1}{4}=18$$

Divide 36 by 9 to get 4.

$$4+2\times \frac{1\times 4+1}{4}=18$$

Multiply 1 and 4 to get 4.

$$4+2\times \frac{4+1}{4}=18$$

Add 4 and 1 to get 5.

$$4+2\times \frac{5}{4}=18$$

Express 2\times \frac{5}{4} as a single fraction.

$$4+\frac{2\times 5}{4}=18$$

Multiply 2 and 5 to get 10.

$$4+\frac{10}{4}=18$$

Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.

$$4+\frac{5}{2}=18$$

Convert 4 to fraction \frac{8}{2}.

$$\frac{8}{2}+\frac{5}{2}=18$$

Since \frac{8}{2} and \frac{5}{2} have the same denominator, add them by adding their numerators.

$$\frac{8+5}{2}=18$$

Add 8 and 5 to get 13.

$$\frac{13}{2}=18$$

Convert 18 to fraction \frac{36}{2}.

$$\frac{13}{2}=\frac{36}{2}$$

Compare \frac{13}{2} and \frac{36}{2}.

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