Solve 1/4*2.449-2*1.732

$$\frac{ 1 }{ 4 } \times 2.449-2 \times 1.732$$

Evaluate

$$-2.85175$$

Solution Steps

Convert decimal number 2.449 to fraction \frac{2449}{1000}.

$$\frac{1}{4}\times \frac{2449}{1000}-2\times 1.732$$

Multiply \frac{1}{4} times \frac{2449}{1000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 2449}{4\times 1000}-2\times 1.732$$

Do the multiplications in the fraction \frac{1\times 2449}{4\times 1000}.

$$\frac{2449}{4000}-2\times 1.732$$

Multiply 2 and 1.732 to get 3.464.

$$\frac{2449}{4000}-3.464$$

Convert decimal number 3.464 to fraction \frac{3464}{1000}. Reduce the fraction \frac{3464}{1000} to lowest terms by extracting and canceling out 8.

$$\frac{2449}{4000}-\frac{433}{125}$$

Least common multiple of 4000 and 125 is 4000. Convert \frac{2449}{4000} and \frac{433}{125} to fractions with denominator 4000.

$$\frac{2449}{4000}-\frac{13856}{4000}$$

Since \frac{2449}{4000} and \frac{13856}{4000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2449-13856}{4000}$$

Subtract 13856 from 2449 to get -11407.

$$-\frac{11407}{4000}$$

Factor

$$-2.85175$$