Solve 12/3*23/4*34/5div45/6

$$1 \frac { 2 } { 3 } \times 2 \frac { 3 } { 4 } \times 3 \frac { 4 } { 5 } \div 4 \frac { 5 } { 6 }$$

Evaluate

$$\frac{209}{58}\approx 3.603448276$$

Solution Steps

Multiply 1 and 3 to get 3.

$$\frac{\frac{3+2}{3}\times \frac{2\times 4+3}{4}\times \frac{3\times 5+4}{5}}{\frac{4\times 6+5}{6}}$$

Add 3 and 2 to get 5.

$$\frac{\frac{5}{3}\times \frac{2\times 4+3}{4}\times \frac{3\times 5+4}{5}}{\frac{4\times 6+5}{6}}$$

Multiply 2 and 4 to get 8.

$$\frac{\frac{5}{3}\times \frac{8+3}{4}\times \frac{3\times 5+4}{5}}{\frac{4\times 6+5}{6}}$$

Add 8 and 3 to get 11.

$$\frac{\frac{5}{3}\times \frac{11}{4}\times \frac{3\times 5+4}{5}}{\frac{4\times 6+5}{6}}$$

Multiply \frac{5}{3} times \frac{11}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{5\times 11}{3\times 4}\times \frac{3\times 5+4}{5}}{\frac{4\times 6+5}{6}}$$

Do the multiplications in the fraction \frac{5\times 11}{3\times 4}.

$$\frac{\frac{55}{12}\times \frac{3\times 5+4}{5}}{\frac{4\times 6+5}{6}}$$

Multiply 3 and 5 to get 15.

$$\frac{\frac{55}{12}\times \frac{15+4}{5}}{\frac{4\times 6+5}{6}}$$

Add 15 and 4 to get 19.

$$\frac{\frac{55}{12}\times \frac{19}{5}}{\frac{4\times 6+5}{6}}$$

Multiply \frac{55}{12} times \frac{19}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{55\times 19}{12\times 5}}{\frac{4\times 6+5}{6}}$$

Do the multiplications in the fraction \frac{55\times 19}{12\times 5}.

$$\frac{\frac{1045}{60}}{\frac{4\times 6+5}{6}}$$

Reduce the fraction \frac{1045}{60} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{209}{12}}{\frac{4\times 6+5}{6}}$$

Multiply 4 and 6 to get 24.

$$\frac{\frac{209}{12}}{\frac{24+5}{6}}$$

Add 24 and 5 to get 29.

$$\frac{\frac{209}{12}}{\frac{29}{6}}$$

Divide \frac{209}{12} by \frac{29}{6} by multiplying \frac{209}{12} by the reciprocal of \frac{29}{6}.

$$\frac{209}{12}\times \frac{6}{29}$$

Multiply \frac{209}{12} times \frac{6}{29} by multiplying numerator times numerator and denominator times denominator.

$$\frac{209\times 6}{12\times 29}$$

Do the multiplications in the fraction \frac{209\times 6}{12\times 29}.

$$\frac{1254}{348}$$

Reduce the fraction \frac{1254}{348} to lowest terms by extracting and canceling out 6.

$$\frac{209}{58}$$

Factor

$$\frac{11 \cdot 19}{2 \cdot 29} = 3\frac{35}{58} = 3.603448275862069$$