Solve 5+{4-(2/5+1/4)}

$$5 + \{ 4 - ( \frac { 2 } { 5 } + \frac { 1 } { 4 } ) \}$$

Evaluate

$$\frac{167}{20}=8.35$$

Solution Steps

Least common multiple of 5 and 4 is 20. Convert \frac{2}{5} and \frac{1}{4} to fractions with denominator 20.

$$5+4-\left(\frac{8}{20}+\frac{5}{20}\right)$$

Since \frac{8}{20} and \frac{5}{20} have the same denominator, add them by adding their numerators.

$$5+4-\frac{8+5}{20}$$

Add 8 and 5 to get 13.

$$5+4-\frac{13}{20}$$

Convert 4 to fraction \frac{80}{20}.

$$5+\frac{80}{20}-\frac{13}{20}$$

Since \frac{80}{20} and \frac{13}{20} have the same denominator, subtract them by subtracting their numerators.

$$5+\frac{80-13}{20}$$

Subtract 13 from 80 to get 67.

$$5+\frac{67}{20}$$

Convert 5 to fraction \frac{100}{20}.

$$\frac{100}{20}+\frac{67}{20}$$

Since \frac{100}{20} and \frac{67}{20} have the same denominator, add them by adding their numerators.

$$\frac{100+67}{20}$$

Add 100 and 67 to get 167.

$$\frac{167}{20}$$

Factor

$$\frac{167}{2 ^ {2} \cdot 5} = 8\frac{7}{20} = 8.35$$