Solve 12:(4+5:(2+1/4))=

$$12 : ( 4 + 5 : ( 2 + \frac { 1 } { 4 } ) ) =$$

Evaluate

$$\frac{27}{14}\approx 1.928571429$$

Solution Steps

Convert 2 to fraction \frac{8}{4}.

$$\frac{12}{4+\frac{5}{\frac{8}{4}+\frac{1}{4}}}$$

Since \frac{8}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{12}{4+\frac{5}{\frac{8+1}{4}}}$$

Add 8 and 1 to get 9.

$$\frac{12}{4+\frac{5}{\frac{9}{4}}}$$

Divide 5 by \frac{9}{4} by multiplying 5 by the reciprocal of \frac{9}{4}.

$$\frac{12}{4+5\times \frac{4}{9}}$$

Express 5\times \frac{4}{9} as a single fraction.

$$\frac{12}{4+\frac{5\times 4}{9}}$$

Multiply 5 and 4 to get 20.

$$\frac{12}{4+\frac{20}{9}}$$

Convert 4 to fraction \frac{36}{9}.

$$\frac{12}{\frac{36}{9}+\frac{20}{9}}$$

Since \frac{36}{9} and \frac{20}{9} have the same denominator, add them by adding their numerators.

$$\frac{12}{\frac{36+20}{9}}$$

Add 36 and 20 to get 56.

$$\frac{12}{\frac{56}{9}}$$

Divide 12 by \frac{56}{9} by multiplying 12 by the reciprocal of \frac{56}{9}.

$$12\times \frac{9}{56}$$

Express 12\times \frac{9}{56} as a single fraction.

$$\frac{12\times 9}{56}$$

Multiply 12 and 9 to get 108.

$$\frac{108}{56}$$

Reduce the fraction \frac{108}{56} to lowest terms by extracting and canceling out 4.

$$\frac{27}{14}$$

Factor

$$\frac{3 ^ {3}}{2 \cdot 7} = 1\frac{13}{14} = 1.9285714285714286$$