Solve 5/12+frac{5{24}}

$$\frac{ 5 }{ 12+ \frac{ 5 }{ 24 } }$$

Evaluate

$$\frac{120}{293}\approx 0.409556314$$

Solution Steps

Convert 12 to fraction \frac{288}{24}.

$$\frac{5}{\frac{288}{24}+\frac{5}{24}}$$

Since \frac{288}{24} and \frac{5}{24} have the same denominator, add them by adding their numerators.

$$\frac{5}{\frac{288+5}{24}}$$

Add 288 and 5 to get 293.

$$\frac{5}{\frac{293}{24}}$$

Divide 5 by \frac{293}{24} by multiplying 5 by the reciprocal of \frac{293}{24}.

$$5\times \frac{24}{293}$$

Express 5\times \frac{24}{293} as a single fraction.

$$\frac{5\times 24}{293}$$

Multiply 5 and 24 to get 120.

$$\frac{120}{293}$$

Factor

$$\frac{2 ^ {3} \cdot 3 \cdot 5}{293} = 0.40955631399317405$$