Solve 3.5-157/75-1.75

$$3.5- \frac{ 157 }{ 75 } -1.75$$

Evaluate

$$-\frac{103}{300}\approx -0.343333333$$

Solution Steps

Convert decimal number 3.5 to fraction \frac{35}{10}. Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$\frac{7}{2}-\frac{157}{75}-1.75$$

Least common multiple of 2 and 75 is 150. Convert \frac{7}{2} and \frac{157}{75} to fractions with denominator 150.

$$\frac{525}{150}-\frac{314}{150}-1.75$$

Since \frac{525}{150} and \frac{314}{150} have the same denominator, subtract them by subtracting their numerators.

$$\frac{525-314}{150}-1.75$$

Subtract 314 from 525 to get 211.

$$\frac{211}{150}-1.75$$

Convert decimal number 1.75 to fraction \frac{175}{100}. Reduce the fraction \frac{175}{100} to lowest terms by extracting and canceling out 25.

$$\frac{211}{150}-\frac{7}{4}$$

Least common multiple of 150 and 4 is 300. Convert \frac{211}{150} and \frac{7}{4} to fractions with denominator 300.

$$\frac{422}{300}-\frac{525}{300}$$

Since \frac{422}{300} and \frac{525}{300} have the same denominator, subtract them by subtracting their numerators.

$$\frac{422-525}{300}$$

Subtract 525 from 422 to get -103.

$$-\frac{103}{300}$$

Factor

$$-\frac{103}{300} = -0.3433333333333333$$