Solve 13/5div26/10=25/10div13/5

$$\frac { 13 } { 5 } \div \frac { 26 } { 10 } = \frac { 25 } { 10 } \div \frac { 13 } { 5 }$$

Verify

Solution Steps

Divide \frac{13}{5} by \frac{26}{10} by multiplying \frac{13}{5} by the reciprocal of \frac{26}{10}.

$$\frac{13\times 10}{5\times 26}=\frac{\frac{25}{10}}{\frac{13}{5}}$$

Cancel out 2\times 5\times 13 in both numerator and denominator.

$$1=\frac{\frac{25}{10}}{\frac{13}{5}}$$

Divide \frac{25}{10} by \frac{13}{5} by multiplying \frac{25}{10} by the reciprocal of \frac{13}{5}.

$$1=\frac{25\times 5}{10\times 13}$$

Cancel out 5 in both numerator and denominator.

$$1=\frac{5\times 5}{2\times 13}$$

Multiply 5 and 5 to get 25.

$$1=\frac{25}{2\times 13}$$

Multiply 2 and 13 to get 26.

$$1=\frac{25}{26}$$

Convert 1 to fraction \frac{26}{26}.

$$\frac{26}{26}=\frac{25}{26}$$

Compare \frac{26}{26} and \frac{25}{26}.

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