Solve 54:4-5.8/12+4-24:3

$$\frac { 54 : 4 - 5.8 } { 12 + 4 - 24 : 3 }$$

Evaluate

$$0.9625$$

Solution Steps

Reduce the fraction \frac{54}{4} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{27}{2}-5.8}{12+4-\frac{24}{3}}$$

Convert decimal number 5.8 to fraction \frac{58}{10}. Reduce the fraction \frac{58}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{27}{2}-\frac{29}{5}}{12+4-\frac{24}{3}}$$

Least common multiple of 2 and 5 is 10. Convert \frac{27}{2} and \frac{29}{5} to fractions with denominator 10.

$$\frac{\frac{135}{10}-\frac{58}{10}}{12+4-\frac{24}{3}}$$

Since \frac{135}{10} and \frac{58}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{135-58}{10}}{12+4-\frac{24}{3}}$$

Subtract 58 from 135 to get 77.

$$\frac{\frac{77}{10}}{12+4-\frac{24}{3}}$$

Add 12 and 4 to get 16.

$$\frac{\frac{77}{10}}{16-\frac{24}{3}}$$

Divide 24 by 3 to get 8.

$$\frac{\frac{77}{10}}{16-8}$$

Subtract 8 from 16 to get 8.

$$\frac{\frac{77}{10}}{8}$$

Express \frac{\frac{77}{10}}{8} as a single fraction.

$$\frac{77}{10\times 8}$$

Multiply 10 and 8 to get 80.

$$\frac{77}{80}$$

Factor

$$\frac{7 \cdot 11}{5 \cdot 2 ^ {4}} = 0.9625$$