Solve 144/frac{5{3}}+2-144/5=144/frac{5{6}}-22

$$\frac{ 144 }{ \frac{ 5 }{ 3 } } +2- \frac{ 144 }{ 5 } = \frac{ 144 }{ \frac{ 5 }{ 6 } } -22$$

Verify

Solution Steps

Divide 144 by \frac{5}{3} by multiplying 144 by the reciprocal of \frac{5}{3}.

$$144\times \frac{3}{5}+2-\frac{144}{5}=\frac{144}{\frac{5}{6}}-22$$

Express 144\times \frac{3}{5} as a single fraction.

$$\frac{144\times 3}{5}+2-\frac{144}{5}=\frac{144}{\frac{5}{6}}-22$$

Multiply 144 and 3 to get 432.

$$\frac{432}{5}+2-\frac{144}{5}=\frac{144}{\frac{5}{6}}-22$$

Convert 2 to fraction \frac{10}{5}.

$$\frac{432}{5}+\frac{10}{5}-\frac{144}{5}=\frac{144}{\frac{5}{6}}-22$$

Since \frac{432}{5} and \frac{10}{5} have the same denominator, add them by adding their numerators.

$$\frac{432+10}{5}-\frac{144}{5}=\frac{144}{\frac{5}{6}}-22$$

Add 432 and 10 to get 442.

$$\frac{442}{5}-\frac{144}{5}=\frac{144}{\frac{5}{6}}-22$$

Since \frac{442}{5} and \frac{144}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{442-144}{5}=\frac{144}{\frac{5}{6}}-22$$

Subtract 144 from 442 to get 298.

$$\frac{298}{5}=\frac{144}{\frac{5}{6}}-22$$

Divide 144 by \frac{5}{6} by multiplying 144 by the reciprocal of \frac{5}{6}.

$$\frac{298}{5}=144\times \frac{6}{5}-22$$

Express 144\times \frac{6}{5} as a single fraction.

$$\frac{298}{5}=\frac{144\times 6}{5}-22$$

Multiply 144 and 6 to get 864.

$$\frac{298}{5}=\frac{864}{5}-22$$

Convert 22 to fraction \frac{110}{5}.

$$\frac{298}{5}=\frac{864}{5}-\frac{110}{5}$$

Since \frac{864}{5} and \frac{110}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{298}{5}=\frac{864-110}{5}$$

Subtract 110 from 864 to get 754.

$$\frac{298}{5}=\frac{754}{5}$$

Compare \frac{298}{5} and \frac{754}{5}.

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