Solve 5/7/frac{35{36}}

$$\frac{ \frac{ 5 }{ 7 } }{ \frac{ 35 }{ 36 } }$$

Evaluate

$$\frac{36}{49}\approx 0.734693878$$

Solution Steps

Divide \frac{5}{7} by \frac{35}{36} by multiplying \frac{5}{7} by the reciprocal of \frac{35}{36}.

$$\frac{5}{7}\times \frac{36}{35}$$

Multiply \frac{5}{7} times \frac{36}{35} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 36}{7\times 35}$$

Do the multiplications in the fraction \frac{5\times 36}{7\times 35}.

$$\frac{180}{245}$$

Reduce the fraction \frac{180}{245} to lowest terms by extracting and canceling out 5.

$$\frac{36}{49}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2}}{7 ^ {2}} = 0.7346938775510204$$