Solve 7/22-5788*7/88*125

$$\frac{ 7 }{ 22 } -5788 \times \frac{ 7 }{ 88 \times 125 }$$

Evaluate

$$-\frac{4627}{1375}\approx -3.365090909$$

Solution Steps

Multiply 88 and 125 to get 11000.

$$\frac{7}{22}-5788\times \frac{7}{11000}$$

Express 5788\times \frac{7}{11000} as a single fraction.

$$\frac{7}{22}-\frac{5788\times 7}{11000}$$

Multiply 5788 and 7 to get 40516.

$$\frac{7}{22}-\frac{40516}{11000}$$

Reduce the fraction \frac{40516}{11000} to lowest terms by extracting and canceling out 4.

$$\frac{7}{22}-\frac{10129}{2750}$$

Least common multiple of 22 and 2750 is 2750. Convert \frac{7}{22} and \frac{10129}{2750} to fractions with denominator 2750.

$$\frac{875}{2750}-\frac{10129}{2750}$$

Since \frac{875}{2750} and \frac{10129}{2750} have the same denominator, subtract them by subtracting their numerators.

$$\frac{875-10129}{2750}$$

Subtract 10129 from 875 to get -9254.

$$\frac{-9254}{2750}$$

Reduce the fraction \frac{-9254}{2750} to lowest terms by extracting and canceling out 2.

$$-\frac{4627}{1375}$$

Factor

$$-\frac{4627}{1375} = -3\frac{502}{1375} = -3.365090909090909$$