Solve 10.415div70.25*500div13=

$$10.415 \div 70.25 \times 500 \div 13=$$

Evaluate

$$\frac{20830}{3653}\approx 5.702162606$$

Solution Steps

Expand \frac{10.415}{70.25} by multiplying both numerator and the denominator by 1000.

$$\frac{\frac{10415}{70250}\times 500}{13}$$

Reduce the fraction \frac{10415}{70250} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{2083}{14050}\times 500}{13}$$

Express \frac{2083}{14050}\times 500 as a single fraction.

$$\frac{\frac{2083\times 500}{14050}}{13}$$

Multiply 2083 and 500 to get 1041500.

$$\frac{\frac{1041500}{14050}}{13}$$

Reduce the fraction \frac{1041500}{14050} to lowest terms by extracting and canceling out 50.

$$\frac{\frac{20830}{281}}{13}$$

Express \frac{\frac{20830}{281}}{13} as a single fraction.

$$\frac{20830}{281\times 13}$$

Multiply 281 and 13 to get 3653.

$$\frac{20830}{3653}$$

Factor

$$\frac{2 \cdot 5 \cdot 2083}{13 \cdot 281} = 5\frac{2565}{3653} = 5.702162606077197$$