Solve 74/93div2/7*35/2

$$\frac { 74 } { 93 } \div \frac { 2 } { 7 } \times \frac { 35 } { 2 }$$

Evaluate

$$\frac{9065}{186}\approx 48.73655914$$

Solution Steps

Divide \frac{74}{93} by \frac{2}{7} by multiplying \frac{74}{93} by the reciprocal of \frac{2}{7}.

$$\frac{74}{93}\times \frac{7}{2}\times \frac{35}{2}$$

Multiply \frac{74}{93} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{74\times 7}{93\times 2}\times \frac{35}{2}$$

Do the multiplications in the fraction \frac{74\times 7}{93\times 2}.

$$\frac{518}{186}\times \frac{35}{2}$$

Reduce the fraction \frac{518}{186} to lowest terms by extracting and canceling out 2.

$$\frac{259}{93}\times \frac{35}{2}$$

Multiply \frac{259}{93} times \frac{35}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{259\times 35}{93\times 2}$$

Do the multiplications in the fraction \frac{259\times 35}{93\times 2}.

$$\frac{9065}{186}$$

Factor

$$\frac{5 \cdot 7 ^ {2} \cdot 37}{2 \cdot 3 \cdot 31} = 48\frac{137}{186} = 48.736559139784944$$