Solve 1.83*25000-1.83*6857/25000-6857

$$\frac{ 1.83 \cdot 25000-1.83 \cdot 6857 }{ 25000-6857 }$$

Evaluate

$$1.83$$

Solution Steps

Multiply 1.83 and 25000 to get 45750.

$$\frac{45750-1.83\times 6857}{25000-6857}$$

Multiply 1.83 and 6857 to get 12548.31.

$$\frac{45750-12548.31}{25000-6857}$$

Subtract 12548.31 from 45750 to get 33201.69.

$$\frac{33201.69}{25000-6857}$$

Subtract 6857 from 25000 to get 18143.

$$\frac{33201.69}{18143}$$

Expand \frac{33201.69}{18143} by multiplying both numerator and the denominator by 100.

$$\frac{3320169}{1814300}$$

Reduce the fraction \frac{3320169}{1814300} to lowest terms by extracting and canceling out 18143.

$$\frac{183}{100}$$

Factor

$$\frac{3 \cdot 61}{2 ^ {2} \cdot 5 ^ {2}} = 1\frac{83}{100} = 1.83$$