Solve 1.7320/4-0.43+1.8171/3-2.6458

$$\frac{ 1.7320 }{ 4 } -0.43+ \frac{ 1.8171 }{ 3 } -2.6458$$

Evaluate

$$-2.0371$$

Solution Steps

Expand \frac{1.732}{4} by multiplying both numerator and the denominator by 1000.

$$\frac{1732}{4000}-0.43+\frac{1.8171}{3}-2.6458$$

Reduce the fraction \frac{1732}{4000} to lowest terms by extracting and canceling out 4.

$$\frac{433}{1000}-0.43+\frac{1.8171}{3}-2.6458$$

Convert decimal number 0.43 to fraction \frac{43}{100}.

$$\frac{433}{1000}-\frac{43}{100}+\frac{1.8171}{3}-2.6458$$

Least common multiple of 1000 and 100 is 1000. Convert \frac{433}{1000} and \frac{43}{100} to fractions with denominator 1000.

$$\frac{433}{1000}-\frac{430}{1000}+\frac{1.8171}{3}-2.6458$$

Since \frac{433}{1000} and \frac{430}{1000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{433-430}{1000}+\frac{1.8171}{3}-2.6458$$

Subtract 430 from 433 to get 3.

$$\frac{3}{1000}+\frac{1.8171}{3}-2.6458$$

Expand \frac{1.8171}{3} by multiplying both numerator and the denominator by 10000.

$$\frac{3}{1000}+\frac{18171}{30000}-2.6458$$

Reduce the fraction \frac{18171}{30000} to lowest terms by extracting and canceling out 3.

$$\frac{3}{1000}+\frac{6057}{10000}-2.6458$$

Least common multiple of 1000 and 10000 is 10000. Convert \frac{3}{1000} and \frac{6057}{10000} to fractions with denominator 10000.

$$\frac{30}{10000}+\frac{6057}{10000}-2.6458$$

Since \frac{30}{10000} and \frac{6057}{10000} have the same denominator, add them by adding their numerators.

$$\frac{30+6057}{10000}-2.6458$$

Add 30 and 6057 to get 6087.

$$\frac{6087}{10000}-2.6458$$

Convert decimal number 2.6458 to fraction \frac{26458}{10000}. Reduce the fraction \frac{26458}{10000} to lowest terms by extracting and canceling out 2.

$$\frac{6087}{10000}-\frac{13229}{5000}$$

Least common multiple of 10000 and 5000 is 10000. Convert \frac{6087}{10000} and \frac{13229}{5000} to fractions with denominator 10000.

$$\frac{6087}{10000}-\frac{26458}{10000}$$

Since \frac{6087}{10000} and \frac{26458}{10000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6087-26458}{10000}$$

Subtract 26458 from 6087 to get -20371.

$$-\frac{20371}{10000}$$

Factor

$$-2.0371$$