Solve =(2*22/7*3.5/2*3.5/2)

$$= ( 2 \times \frac { 22 } { 7 } \times \frac { 3.5 } { 2 } \times \frac { 3.5 } { 2 } )$$

Evaluate

$$19.25$$

Solution Steps

Multiply \frac{3.5}{2} and \frac{3.5}{2} to get \left(\frac{3.5}{2}\right)^{2}.

$$2\times \frac{22}{7}\times \left(\frac{3.5}{2}\right)^{2}$$

Express 2\times \frac{22}{7} as a single fraction.

$$\frac{2\times 22}{7}\times \left(\frac{3.5}{2}\right)^{2}$$

Multiply 2 and 22 to get 44.

$$\frac{44}{7}\times \left(\frac{3.5}{2}\right)^{2}$$

Expand \frac{3.5}{2} by multiplying both numerator and the denominator by 10.

$$\frac{44}{7}\times \left(\frac{35}{20}\right)^{2}$$

Reduce the fraction \frac{35}{20} to lowest terms by extracting and canceling out 5.

$$\frac{44}{7}\times \left(\frac{7}{4}\right)^{2}$$

Calculate \frac{7}{4} to the power of 2 and get \frac{49}{16}.

$$\frac{44}{7}\times \frac{49}{16}$$

Multiply \frac{44}{7} times \frac{49}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{44\times 49}{7\times 16}$$

Do the multiplications in the fraction \frac{44\times 49}{7\times 16}.

$$\frac{2156}{112}$$

Reduce the fraction \frac{2156}{112} to lowest terms by extracting and canceling out 28.

$$\frac{77}{4}$$

Factor

$$\frac{7 \cdot 11}{2 ^ {2}} = 19\frac{1}{4} = 19.25$$