Solve (-25.75)+41/4+(-4.25)+(+203/4)=

$$( - 25.75 ) + 4 \frac { 1 } { 4 } + ( - 4.25 ) + ( + 20 \frac { 3 } { 4 } ) =$$

Evaluate

$$-5$$

Solution Steps

Multiply 4 and 4 to get 16.

$$-25.75+\frac{16+1}{4}-4.25+\frac{20\times 4+3}{4}$$

Add 16 and 1 to get 17.

$$-25.75+\frac{17}{4}-4.25+\frac{20\times 4+3}{4}$$

Convert decimal number -25.75 to fraction -\frac{2575}{100}. Reduce the fraction -\frac{2575}{100} to lowest terms by extracting and canceling out 25.

$$-\frac{103}{4}+\frac{17}{4}-4.25+\frac{20\times 4+3}{4}$$

Since -\frac{103}{4} and \frac{17}{4} have the same denominator, add them by adding their numerators.

$$\frac{-103+17}{4}-4.25+\frac{20\times 4+3}{4}$$

Add -103 and 17 to get -86.

$$\frac{-86}{4}-4.25+\frac{20\times 4+3}{4}$$

Reduce the fraction \frac{-86}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{43}{2}-4.25+\frac{20\times 4+3}{4}$$

Convert decimal number 4.25 to fraction \frac{425}{100}. Reduce the fraction \frac{425}{100} to lowest terms by extracting and canceling out 25.

$$-\frac{43}{2}-\frac{17}{4}+\frac{20\times 4+3}{4}$$

Least common multiple of 2 and 4 is 4. Convert -\frac{43}{2} and \frac{17}{4} to fractions with denominator 4.

$$-\frac{86}{4}-\frac{17}{4}+\frac{20\times 4+3}{4}$$

Since -\frac{86}{4} and \frac{17}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-86-17}{4}+\frac{20\times 4+3}{4}$$

Subtract 17 from -86 to get -103.

$$-\frac{103}{4}+\frac{20\times 4+3}{4}$$

Multiply 20 and 4 to get 80.

$$-\frac{103}{4}+\frac{80+3}{4}$$

Add 80 and 3 to get 83.

$$-\frac{103}{4}+\frac{83}{4}$$

Since -\frac{103}{4} and \frac{83}{4} have the same denominator, add them by adding their numerators.

$$\frac{-103+83}{4}$$

Add -103 and 83 to get -20.

$$\frac{-20}{4}$$

Divide -20 by 4 to get -5.

$$-5$$

Factor

$$-5$$