Solve 11/4div31/3*15/11

$$1 \frac { 1 } { 4 } \div 3 \frac { 1 } { 3 } \times 1 \frac { 5 } { 11 }$$

Evaluate

$$\frac{6}{11}\approx 0.545454545$$

Solution Steps

Divide \frac{1\times 4+1}{4} by \frac{3\times 3+1}{3} by multiplying \frac{1\times 4+1}{4} by the reciprocal of \frac{3\times 3+1}{3}.

$$\frac{\left(1\times 4+1\right)\times 3}{4\left(3\times 3+1\right)}\times \frac{1\times 11+5}{11}$$

Multiply 1 and 4 to get 4.

$$\frac{\left(4+1\right)\times 3}{4\left(3\times 3+1\right)}\times \frac{1\times 11+5}{11}$$

Add 4 and 1 to get 5.

$$\frac{5\times 3}{4\left(3\times 3+1\right)}\times \frac{1\times 11+5}{11}$$

Multiply 5 and 3 to get 15.

$$\frac{15}{4\left(3\times 3+1\right)}\times \frac{1\times 11+5}{11}$$

Multiply 3 and 3 to get 9.

$$\frac{15}{4\left(9+1\right)}\times \frac{1\times 11+5}{11}$$

Add 9 and 1 to get 10.

$$\frac{15}{4\times 10}\times \frac{1\times 11+5}{11}$$

Multiply 4 and 10 to get 40.

$$\frac{15}{40}\times \frac{1\times 11+5}{11}$$

Reduce the fraction \frac{15}{40} to lowest terms by extracting and canceling out 5.

$$\frac{3}{8}\times \frac{1\times 11+5}{11}$$

Multiply 1 and 11 to get 11.

$$\frac{3}{8}\times \frac{11+5}{11}$$

Add 11 and 5 to get 16.

$$\frac{3}{8}\times \frac{16}{11}$$

Multiply \frac{3}{8} times \frac{16}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 16}{8\times 11}$$

Do the multiplications in the fraction \frac{3\times 16}{8\times 11}.

$$\frac{48}{88}$$

Reduce the fraction \frac{48}{88} to lowest terms by extracting and canceling out 8.

$$\frac{6}{11}$$

Factor

$$\frac{2 \cdot 3}{11} = 0.5454545454545454$$