Solve 25.764*-32+1.77+5/-20+5

$$25.764 \times -32+ \frac{ 1.77+5 }{ -20+5 }$$

Evaluate

$$-\frac{1237349}{1500}\approx -824.899333333$$

Solution Steps

Multiply 25.764 and -32 to get -824.448.

$$-824.448+\frac{1.77+5}{-20+5}$$

Add 1.77 and 5 to get 6.77.

$$-824.448+\frac{6.77}{-20+5}$$

Add -20 and 5 to get -15.

$$-824.448+\frac{6.77}{-15}$$

Expand \frac{6.77}{-15} by multiplying both numerator and the denominator by 100.

$$-824.448+\frac{677}{-1500}$$

Fraction \frac{677}{-1500} can be rewritten as -\frac{677}{1500} by extracting the negative sign.

$$-824.448-\frac{677}{1500}$$

Convert decimal number -824.448 to fraction -\frac{824448}{1000}. Reduce the fraction -\frac{824448}{1000} to lowest terms by extracting and canceling out 8.

$$-\frac{103056}{125}-\frac{677}{1500}$$

Least common multiple of 125 and 1500 is 1500. Convert -\frac{103056}{125} and \frac{677}{1500} to fractions with denominator 1500.

$$-\frac{1236672}{1500}-\frac{677}{1500}$$

Since -\frac{1236672}{1500} and \frac{677}{1500} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1236672-677}{1500}$$

Subtract 677 from -1236672 to get -1237349.

$$-\frac{1237349}{1500}$$

Factor

$$-\frac{1237349}{1500} = -824\frac{1349}{1500} = -824.8993333333333$$