Solve 4*22/7*10.5*10.5=

$$4 \times \frac{ 22 }{ 7 } \times 10.5 \times 10.5=$$

Evaluate

$$1386$$

Solution Steps

Express 4\times \frac{22}{7} as a single fraction.

$$\frac{4\times 22}{7}\times 10.5\times 10.5$$

Multiply 4 and 22 to get 88.

$$\frac{88}{7}\times 10.5\times 10.5$$

Convert decimal number 10.5 to fraction \frac{105}{10}. Reduce the fraction \frac{105}{10} to lowest terms by extracting and canceling out 5.

$$\frac{88}{7}\times \frac{21}{2}\times 10.5$$

Multiply \frac{88}{7} times \frac{21}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{88\times 21}{7\times 2}\times 10.5$$

Do the multiplications in the fraction \frac{88\times 21}{7\times 2}.

$$\frac{1848}{14}\times 10.5$$

Divide 1848 by 14 to get 132.

$$132\times 10.5$$

Multiply 132 and 10.5 to get 1386.

$$1386$$

Factor

$$2\times 7\times 11\times 3^{2}$$