Solve 5/3*9-(-1/4)=

$$\frac { 5 } { 3 } \cdot 9 - ( - \frac { 1 } { 4 } ) =$$

Evaluate

$$\frac{61}{4}=15.25$$

Solution Steps

Express \frac{5}{3}\times 9 as a single fraction.

$$\frac{5\times 9}{3}-\left(-\frac{1}{4}\right)$$

Multiply 5 and 9 to get 45.

$$\frac{45}{3}-\left(-\frac{1}{4}\right)$$

Divide 45 by 3 to get 15.

$$15-\left(-\frac{1}{4}\right)$$

The opposite of -\frac{1}{4} is \frac{1}{4}.

$$15+\frac{1}{4}$$

Convert 15 to fraction \frac{60}{4}.

$$\frac{60}{4}+\frac{1}{4}$$

Since \frac{60}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{60+1}{4}$$

Add 60 and 1 to get 61.

$$\frac{61}{4}$$

Factor

$$\frac{61}{2 ^ {2}} = 15\frac{1}{4} = 15.25$$