Solve 12/526/35div13/42

$$\frac{ 12 }{ 5 } \frac{ 26 }{ 35 } \div \frac{ 13 }{ 42 }$$

Evaluate

$$\frac{144}{25}=5.76$$

Solution Steps

Multiply \frac{12}{5} times \frac{26}{35} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{12\times 26}{5\times 35}}{\frac{13}{42}}$$

Do the multiplications in the fraction \frac{12\times 26}{5\times 35}.

$$\frac{\frac{312}{175}}{\frac{13}{42}}$$

Divide \frac{312}{175} by \frac{13}{42} by multiplying \frac{312}{175} by the reciprocal of \frac{13}{42}.

$$\frac{312}{175}\times \frac{42}{13}$$

Multiply \frac{312}{175} times \frac{42}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{312\times 42}{175\times 13}$$

Do the multiplications in the fraction \frac{312\times 42}{175\times 13}.

$$\frac{13104}{2275}$$

Reduce the fraction \frac{13104}{2275} to lowest terms by extracting and canceling out 91.

$$\frac{144}{25}$$

Factor

$$\frac{2 ^ {4} \cdot 3 ^ {2}}{5 ^ {2}} = 5\frac{19}{25} = 5.76$$