Solve 61/5-22/5/5=34/5

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

Verify

Solution Steps

Multiply both sides of the equation by 5.

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

Multiply 6 and 5 to get 30.

$$30+1-\frac{2\times 5+2}{5}=3\times 5+4$$

Add 30 and 1 to get 31.

$$31-\frac{2\times 5+2}{5}=3\times 5+4$$

Multiply 2 and 5 to get 10.

$$31-\frac{10+2}{5}=3\times 5+4$$

Add 10 and 2 to get 12.

$$31-\frac{12}{5}=3\times 5+4$$

Convert 31 to fraction \frac{155}{5}.

$$\frac{155}{5}-\frac{12}{5}=3\times 5+4$$

Since \frac{155}{5} and \frac{12}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{155-12}{5}=3\times 5+4$$

Subtract 12 from 155 to get 143.

$$\frac{143}{5}=3\times 5+4$$

Multiply 3 and 5 to get 15.

$$\frac{143}{5}=15+4$$

Add 15 and 4 to get 19.

$$\frac{143}{5}=19$$

Convert 19 to fraction \frac{95}{5}.

$$\frac{143}{5}=\frac{95}{5}$$

Compare \frac{143}{5} and \frac{95}{5}.

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