Solve 17/5*10/3=17/3*2/1

$$\frac{ 17 }{ 5 } \times \frac { 10 } { 3 } = \frac{ 17 }{ 3 } \times \frac { 2 } { 1 }$$

Verify

Solution Steps

Multiply \frac{17}{5} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17\times 10}{5\times 3}=\frac{17}{3}\times \frac{2}{1}$$

Do the multiplications in the fraction \frac{17\times 10}{5\times 3}.

$$\frac{170}{15}=\frac{17}{3}\times \frac{2}{1}$$

Reduce the fraction \frac{170}{15} to lowest terms by extracting and canceling out 5.

$$\frac{34}{3}=\frac{17}{3}\times \frac{2}{1}$$

Anything divided by one gives itself.

$$\frac{34}{3}=\frac{17}{3}\times 2$$

Express \frac{17}{3}\times 2 as a single fraction.

$$\frac{34}{3}=\frac{17\times 2}{3}$$

Multiply 17 and 2 to get 34.

$$\frac{34}{3}=\frac{34}{3}$$

Compare \frac{34}{3} and \frac{34}{3}.

$$\text{true}$$