Solve 4/3*22/7*2.1*2.1*2.11/2

$$\frac { 4 } { 3 } \times \frac { 22 } { 7 } \times 2.1 \times 2.1 \times 2.1 \frac { 1 } { 2 }$$

Evaluate

$$48.048$$

Solution Steps

Multiply \frac{4}{3} times \frac{22}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 22}{3\times 7}\times 2.1\times 2.1\times \frac{2.1\times 2+1}{2}$$

Do the multiplications in the fraction \frac{4\times 22}{3\times 7}.

$$\frac{88}{21}\times 2.1\times 2.1\times \frac{2.1\times 2+1}{2}$$

Convert decimal number 2.1 to fraction \frac{21}{10}.

$$\frac{88}{21}\times \frac{21}{10}\times 2.1\times \frac{2.1\times 2+1}{2}$$

Multiply \frac{88}{21} times \frac{21}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{88\times 21}{21\times 10}\times 2.1\times \frac{2.1\times 2+1}{2}$$

Cancel out 21 in both numerator and denominator.

$$\frac{88}{10}\times 2.1\times \frac{2.1\times 2+1}{2}$$

Reduce the fraction \frac{88}{10} to lowest terms by extracting and canceling out 2.

$$\frac{44}{5}\times 2.1\times \frac{2.1\times 2+1}{2}$$

Convert decimal number 2.1 to fraction \frac{21}{10}.

$$\frac{44}{5}\times \frac{21}{10}\times \frac{2.1\times 2+1}{2}$$

Multiply \frac{44}{5} times \frac{21}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{44\times 21}{5\times 10}\times \frac{2.1\times 2+1}{2}$$

Do the multiplications in the fraction \frac{44\times 21}{5\times 10}.

$$\frac{924}{50}\times \frac{2.1\times 2+1}{2}$$

Reduce the fraction \frac{924}{50} to lowest terms by extracting and canceling out 2.

$$\frac{462}{25}\times \frac{2.1\times 2+1}{2}$$

Multiply 2.1 and 2 to get 4.2.

$$\frac{462}{25}\times \frac{4.2+1}{2}$$

Add 4.2 and 1 to get 5.2.

$$\frac{462}{25}\times \frac{5.2}{2}$$

Expand \frac{5.2}{2} by multiplying both numerator and the denominator by 10.

$$\frac{462}{25}\times \frac{52}{20}$$

Reduce the fraction \frac{52}{20} to lowest terms by extracting and canceling out 4.

$$\frac{462}{25}\times \frac{13}{5}$$

Multiply \frac{462}{25} times \frac{13}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{462\times 13}{25\times 5}$$

Do the multiplications in the fraction \frac{462\times 13}{25\times 5}.

$$\frac{6006}{125}$$

Factor

$$\frac{2 \cdot 3 \cdot 7 \cdot 11 \cdot 13}{5 ^ {3}} = 48\frac{6}{125} = 48.048$$