Solve 25/58*90/20div70

$$\frac{ 25 }{ 58 } \times \frac{ 90 }{ 20 } \div 70$$

Evaluate

$$\frac{45}{1624}\approx 0.02770936$$

Solution Steps

Reduce the fraction \frac{90}{20} to lowest terms by extracting and canceling out 10.

$$\frac{\frac{25}{58}\times \frac{9}{2}}{70}$$

Multiply \frac{25}{58} times \frac{9}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{25\times 9}{58\times 2}}{70}$$

Do the multiplications in the fraction \frac{25\times 9}{58\times 2}.

$$\frac{\frac{225}{116}}{70}$$

Express \frac{\frac{225}{116}}{70} as a single fraction.

$$\frac{225}{116\times 70}$$

Multiply 116 and 70 to get 8120.

$$\frac{225}{8120}$$

Reduce the fraction \frac{225}{8120} to lowest terms by extracting and canceling out 5.

$$\frac{45}{1624}$$

Factor

$$\frac{3 ^ {2} \cdot 5}{2 ^ {3} \cdot 7 \cdot 29} = 0.02770935960591133$$