Solve frac{25/404/10+sqrt{49}}{58}

$$\frac{ \frac{ \frac{ 25 }{ 40 } 4 }{ 10 } + \sqrt{ 49 } }{ 58 }$$

Evaluate

$$\frac{1}{8}=0.125$$

Solution Steps

Reduce the fraction \frac{25}{40} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{\frac{5}{8}\times 4}{10}+\sqrt{49}}{58}$$

Express \frac{5}{8}\times 4 as a single fraction.

$$\frac{\frac{\frac{5\times 4}{8}}{10}+\sqrt{49}}{58}$$

Multiply 5 and 4 to get 20.

$$\frac{\frac{\frac{20}{8}}{10}+\sqrt{49}}{58}$$

Reduce the fraction \frac{20}{8} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{\frac{5}{2}}{10}+\sqrt{49}}{58}$$

Express \frac{\frac{5}{2}}{10} as a single fraction.

$$\frac{\frac{5}{2\times 10}+\sqrt{49}}{58}$$

Multiply 2 and 10 to get 20.

$$\frac{\frac{5}{20}+\sqrt{49}}{58}$$

Reduce the fraction \frac{5}{20} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{1}{4}+\sqrt{49}}{58}$$

Calculate the square root of 49 and get 7.

$$\frac{\frac{1}{4}+7}{58}$$

Convert 7 to fraction \frac{28}{4}.

$$\frac{\frac{1}{4}+\frac{28}{4}}{58}$$

Since \frac{1}{4} and \frac{28}{4} have the same denominator, add them by adding their numerators.

$$\frac{\frac{1+28}{4}}{58}$$

Add 1 and 28 to get 29.

$$\frac{\frac{29}{4}}{58}$$

Express \frac{\frac{29}{4}}{58} as a single fraction.

$$\frac{29}{4\times 58}$$

Multiply 4 and 58 to get 232.

$$\frac{29}{232}$$

Reduce the fraction \frac{29}{232} to lowest terms by extracting and canceling out 29.

$$\frac{1}{8}$$

Factor

$$\frac{1}{2 ^ {3}} = 0.125$$