Solve 1.527-3/8+(-1/2)

$$1.527 - \frac { 3 } { 8 } + ( - \frac { 1 } { 2 } )$$

Evaluate

$$0.652$$

Solution Steps

Convert decimal number 1.527 to fraction \frac{1527}{1000}.

$$\frac{1527}{1000}-\frac{3}{8}-\frac{1}{2}$$

Least common multiple of 1000 and 8 is 1000. Convert \frac{1527}{1000} and \frac{3}{8} to fractions with denominator 1000.

$$\frac{1527}{1000}-\frac{375}{1000}-\frac{1}{2}$$

Since \frac{1527}{1000} and \frac{375}{1000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1527-375}{1000}-\frac{1}{2}$$

Subtract 375 from 1527 to get 1152.

$$\frac{1152}{1000}-\frac{1}{2}$$

Reduce the fraction \frac{1152}{1000} to lowest terms by extracting and canceling out 8.

$$\frac{144}{125}-\frac{1}{2}$$

Least common multiple of 125 and 2 is 250. Convert \frac{144}{125} and \frac{1}{2} to fractions with denominator 250.

$$\frac{288}{250}-\frac{125}{250}$$

Since \frac{288}{250} and \frac{125}{250} have the same denominator, subtract them by subtracting their numerators.

$$\frac{288-125}{250}$$

Subtract 125 from 288 to get 163.

$$\frac{163}{250}$$

Factor

$$\frac{163}{2 \cdot 5 ^ {3}} = 0.652$$