Solve 39/64div(26/24*63/56)

$$\frac { 39 } { 64 } \div ( \frac { 26 } { 24 } \times \frac { 63 } { 56 } )$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Reduce the fraction \frac{26}{24} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{39}{64}}{\frac{13}{12}\times \frac{63}{56}}$$

Reduce the fraction \frac{63}{56} to lowest terms by extracting and canceling out 7.

$$\frac{\frac{39}{64}}{\frac{13}{12}\times \frac{9}{8}}$$

Multiply \frac{13}{12} times \frac{9}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{39}{64}}{\frac{13\times 9}{12\times 8}}$$

Do the multiplications in the fraction \frac{13\times 9}{12\times 8}.

$$\frac{\frac{39}{64}}{\frac{117}{96}}$$

Reduce the fraction \frac{117}{96} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{39}{64}}{\frac{39}{32}}$$

Divide \frac{39}{64} by \frac{39}{32} by multiplying \frac{39}{64} by the reciprocal of \frac{39}{32}.

$$\frac{39}{64}\times \frac{32}{39}$$

Multiply \frac{39}{64} times \frac{32}{39} by multiplying numerator times numerator and denominator times denominator.

$$\frac{39\times 32}{64\times 39}$$

Cancel out 39 in both numerator and denominator.

$$\frac{32}{64}$$

Reduce the fraction \frac{32}{64} to lowest terms by extracting and canceling out 32.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$