Solve -1.53*0.75+1.531/2+4/51.53

$$-1.53 \cdot 0.75+1.53 \frac{ 1 }{ 2 } + \frac{ 4 }{ 5 } 1.53$$

Evaluate

$$2.1065$$

Solution Steps

Multiply -1.53 and 0.75 to get -1.1475.

$$-1.1475+\frac{1.53\times 2+1}{2}+\frac{4}{5}\times 1.53$$

Multiply 1.53 and 2 to get 3.06.

$$-1.1475+\frac{3.06+1}{2}+\frac{4}{5}\times 1.53$$

Add 3.06 and 1 to get 4.06.

$$-1.1475+\frac{4.06}{2}+\frac{4}{5}\times 1.53$$

Expand \frac{4.06}{2} by multiplying both numerator and the denominator by 100.

$$-1.1475+\frac{406}{200}+\frac{4}{5}\times 1.53$$

Reduce the fraction \frac{406}{200} to lowest terms by extracting and canceling out 2.

$$-1.1475+\frac{203}{100}+\frac{4}{5}\times 1.53$$

Convert decimal number -1.1475 to fraction -\frac{11475}{10000}. Reduce the fraction -\frac{11475}{10000} to lowest terms by extracting and canceling out 25.

$$-\frac{459}{400}+\frac{203}{100}+\frac{4}{5}\times 1.53$$

Least common multiple of 400 and 100 is 400. Convert -\frac{459}{400} and \frac{203}{100} to fractions with denominator 400.

$$-\frac{459}{400}+\frac{812}{400}+\frac{4}{5}\times 1.53$$

Since -\frac{459}{400} and \frac{812}{400} have the same denominator, add them by adding their numerators.

$$\frac{-459+812}{400}+\frac{4}{5}\times 1.53$$

Add -459 and 812 to get 353.

$$\frac{353}{400}+\frac{4}{5}\times 1.53$$

Convert decimal number 1.53 to fraction \frac{153}{100}.

$$\frac{353}{400}+\frac{4}{5}\times \frac{153}{100}$$

Multiply \frac{4}{5} times \frac{153}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{353}{400}+\frac{4\times 153}{5\times 100}$$

Do the multiplications in the fraction \frac{4\times 153}{5\times 100}.

$$\frac{353}{400}+\frac{612}{500}$$

Reduce the fraction \frac{612}{500} to lowest terms by extracting and canceling out 4.

$$\frac{353}{400}+\frac{153}{125}$$

Least common multiple of 400 and 125 is 2000. Convert \frac{353}{400} and \frac{153}{125} to fractions with denominator 2000.

$$\frac{1765}{2000}+\frac{2448}{2000}$$

Since \frac{1765}{2000} and \frac{2448}{2000} have the same denominator, add them by adding their numerators.

$$\frac{1765+2448}{2000}$$

Add 1765 and 2448 to get 4213.

$$\frac{4213}{2000}$$

Factor

$$\frac{11 \cdot 383}{2 ^ {4} \cdot 5 ^ {3}} = 2\frac{213}{2000} = 2.1065$$