Solve 4,64/5,1:2/3+4,32/8,5*11/4

$$\frac { 4,64 } { 5,1 } : \frac { 2 } { 3 } + \frac { 4,32 } { 8,5 } \cdot 1 \frac { 1 } { 4 }$$

Evaluate

$$2$$

Solution Steps

Divide \frac{4,64}{5,1} by \frac{2}{3} by multiplying \frac{4,64}{5,1} by the reciprocal of \frac{2}{3}.

$$\frac{4,64\times 3}{5,1\times 2}+\frac{4,32}{8,5}\times \frac{1\times 4+1}{4}$$

Multiply 4,64 and 3 to get 13,92.

$$\frac{13,92}{5,1\times 2}+\frac{4,32}{8,5}\times \frac{1\times 4+1}{4}$$

Multiply 5,1 and 2 to get 10,2.

$$\frac{13,92}{10,2}+\frac{4,32}{8,5}\times \frac{1\times 4+1}{4}$$

Expand \frac{13,92}{10,2} by multiplying both numerator and the denominator by 100.

$$\frac{1392}{1020}+\frac{4,32}{8,5}\times \frac{1\times 4+1}{4}$$

Reduce the fraction \frac{1392}{1020} to lowest terms by extracting and canceling out 12.

$$\frac{116}{85}+\frac{4,32}{8,5}\times \frac{1\times 4+1}{4}$$

Expand \frac{4,32}{8,5} by multiplying both numerator and the denominator by 100.

$$\frac{116}{85}+\frac{432}{850}\times \frac{1\times 4+1}{4}$$

Reduce the fraction \frac{432}{850} to lowest terms by extracting and canceling out 2.

$$\frac{116}{85}+\frac{216}{425}\times \frac{1\times 4+1}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{116}{85}+\frac{216}{425}\times \frac{4+1}{4}$$

Add 4 and 1 to get 5.

$$\frac{116}{85}+\frac{216}{425}\times \frac{5}{4}$$

Multiply \frac{216}{425} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{116}{85}+\frac{216\times 5}{425\times 4}$$

Do the multiplications in the fraction \frac{216\times 5}{425\times 4}.

$$\frac{116}{85}+\frac{1080}{1700}$$

Reduce the fraction \frac{1080}{1700} to lowest terms by extracting and canceling out 20.

$$\frac{116}{85}+\frac{54}{85}$$

Since \frac{116}{85} and \frac{54}{85} have the same denominator, add them by adding their numerators.

$$\frac{116+54}{85}$$

Add 116 and 54 to get 170.

$$\frac{170}{85}$$

Divide 170 by 85 to get 2.

$$2$$

Factor

$$2$$