Solve 13/5quad13/5:61/2=

$$\frac { 13 } { 5 } \quad \frac { 13 } { 5 } : 6 \frac { 1 } { 2 } =$$

Evaluate

$$\frac{26}{25}=1.04$$

Solution Steps

Multiply \frac{13}{5} times \frac{13}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{13\times 13}{5\times 5}}{\frac{6\times 2+1}{2}}$$

Do the multiplications in the fraction \frac{13\times 13}{5\times 5}.

$$\frac{\frac{169}{25}}{\frac{6\times 2+1}{2}}$$

Multiply 6 and 2 to get 12.

$$\frac{\frac{169}{25}}{\frac{12+1}{2}}$$

Add 12 and 1 to get 13.

$$\frac{\frac{169}{25}}{\frac{13}{2}}$$

Divide \frac{169}{25} by \frac{13}{2} by multiplying \frac{169}{25} by the reciprocal of \frac{13}{2}.

$$\frac{169}{25}\times \frac{2}{13}$$

Multiply \frac{169}{25} times \frac{2}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{169\times 2}{25\times 13}$$

Do the multiplications in the fraction \frac{169\times 2}{25\times 13}.

$$\frac{338}{325}$$

Reduce the fraction \frac{338}{325} to lowest terms by extracting and canceling out 13.

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

Factor

$$\frac{2 \cdot 13}{5 ^ {2}} = 1\frac{1}{25} = 1.04$$