Solve 5.2+91/8-6.025

$$5.2 + 9 \frac { 1 } { 8 } - 6.025$$

Evaluate

$$8.3$$

Solution Steps

Multiply 9 and 8 to get 72.

$$5.2+\frac{72+1}{8}-6.025$$

Add 72 and 1 to get 73.

$$5.2+\frac{73}{8}-6.025$$

Convert decimal number 5.2 to fraction \frac{52}{10}. Reduce the fraction \frac{52}{10} to lowest terms by extracting and canceling out 2.

$$\frac{26}{5}+\frac{73}{8}-6.025$$

Least common multiple of 5 and 8 is 40. Convert \frac{26}{5} and \frac{73}{8} to fractions with denominator 40.

$$\frac{208}{40}+\frac{365}{40}-6.025$$

Since \frac{208}{40} and \frac{365}{40} have the same denominator, add them by adding their numerators.

$$\frac{208+365}{40}-6.025$$

Add 208 and 365 to get 573.

$$\frac{573}{40}-6.025$$

Convert decimal number 6.025 to fraction \frac{6025}{1000}. Reduce the fraction \frac{6025}{1000} to lowest terms by extracting and canceling out 25.

$$\frac{573}{40}-\frac{241}{40}$$

Since \frac{573}{40} and \frac{241}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{573-241}{40}$$

Subtract 241 from 573 to get 332.

$$\frac{332}{40}$$

Reduce the fraction \frac{332}{40} to lowest terms by extracting and canceling out 4.

$$\frac{83}{10}$$

Factor

$$\frac{83}{2 \cdot 5} = 8\frac{3}{10} = 8.3$$