Solve 22/25div5/4*8/12*11/4=

$$2 \frac { 2 } { 25 } \div \frac { 5 } { 4 } \times \frac { 8 } { 12 } \times 1 \frac { 1 } { 4 } =$$

Evaluate

$$\frac{104}{75}\approx 1.386666667$$

Solution Steps

Divide \frac{2\times 25+2}{25} by \frac{5}{4} by multiplying \frac{2\times 25+2}{25} by the reciprocal of \frac{5}{4}.

$$\frac{\left(2\times 25+2\right)\times 4}{25\times 5}\times \frac{8}{12}\times \frac{1\times 4+1}{4}$$

Multiply 2 and 25 to get 50.

$$\frac{\left(50+2\right)\times 4}{25\times 5}\times \frac{8}{12}\times \frac{1\times 4+1}{4}$$

Add 50 and 2 to get 52.

$$\frac{52\times 4}{25\times 5}\times \frac{8}{12}\times \frac{1\times 4+1}{4}$$

Multiply 52 and 4 to get 208.

$$\frac{208}{25\times 5}\times \frac{8}{12}\times \frac{1\times 4+1}{4}$$

Multiply 25 and 5 to get 125.

$$\frac{208}{125}\times \frac{8}{12}\times \frac{1\times 4+1}{4}$$

Reduce the fraction \frac{8}{12} to lowest terms by extracting and canceling out 4.

$$\frac{208}{125}\times \frac{2}{3}\times \frac{1\times 4+1}{4}$$

Multiply \frac{208}{125} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{208\times 2}{125\times 3}\times \frac{1\times 4+1}{4}$$

Do the multiplications in the fraction \frac{208\times 2}{125\times 3}.

$$\frac{416}{375}\times \frac{1\times 4+1}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{416}{375}\times \frac{4+1}{4}$$

Add 4 and 1 to get 5.

$$\frac{416}{375}\times \frac{5}{4}$$

Multiply \frac{416}{375} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{416\times 5}{375\times 4}$$

Do the multiplications in the fraction \frac{416\times 5}{375\times 4}.

$$\frac{2080}{1500}$$

Reduce the fraction \frac{2080}{1500} to lowest terms by extracting and canceling out 20.

$$\frac{104}{75}$$

Factor

$$\frac{2 ^ {3} \cdot 13}{3 \cdot 5 ^ {2}} = 1\frac{29}{75} = 1.3866666666666667$$