Solve 214/5-1/3-1=14/4-1/6

$$\frac { 2 \frac { 14 } { 5 } - 1 } { 3 } - 1 = \frac { 14 } { 4 } - \frac { 1 } { 6 }$$

Verify

Solution Steps

Multiply both sides of the equation by 12, the least common multiple of 3,4,6.

$$4\left(\frac{2\times 5+14}{5}-1\right)-12=3\times 14-2$$

Multiply 2 and 5 to get 10.

$$4\left(\frac{10+14}{5}-1\right)-12=3\times 14-2$$

Add 10 and 14 to get 24.

$$4\left(\frac{24}{5}-1\right)-12=3\times 14-2$$

Convert 1 to fraction \frac{5}{5}.

$$4\left(\frac{24}{5}-\frac{5}{5}\right)-12=3\times 14-2$$

Since \frac{24}{5} and \frac{5}{5} have the same denominator, subtract them by subtracting their numerators.

$$4\times \frac{24-5}{5}-12=3\times 14-2$$

Subtract 5 from 24 to get 19.

$$4\times \frac{19}{5}-12=3\times 14-2$$

Express 4\times \frac{19}{5} as a single fraction.

$$\frac{4\times 19}{5}-12=3\times 14-2$$

Multiply 4 and 19 to get 76.

$$\frac{76}{5}-12=3\times 14-2$$

Convert 12 to fraction \frac{60}{5}.

$$\frac{76}{5}-\frac{60}{5}=3\times 14-2$$

Since \frac{76}{5} and \frac{60}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{76-60}{5}=3\times 14-2$$

Subtract 60 from 76 to get 16.

$$\frac{16}{5}=3\times 14-2$$

Multiply 3 and 14 to get 42.

$$\frac{16}{5}=42-2$$

Subtract 2 from 42 to get 40.

$$\frac{16}{5}=40$$

Convert 40 to fraction \frac{200}{5}.

$$\frac{16}{5}=\frac{200}{5}$$

Compare \frac{16}{5} and \frac{200}{5}.

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