Solve 22/7*4.75^2*14

$$\frac{ 22 }{ 7 } \times { 4.75 }^{ 2 } \times 14$$

Evaluate

$$992.75$$

Solution Steps

Calculate 4.75 to the power of 2 and get 22.5625.

$$\frac{22}{7}\times 22.5625\times 14$$

Convert decimal number 22.5625 to fraction \frac{225625}{10000}. Reduce the fraction \frac{225625}{10000} to lowest terms by extracting and canceling out 625.

$$\frac{22}{7}\times \frac{361}{16}\times 14$$

Multiply \frac{22}{7} times \frac{361}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22\times 361}{7\times 16}\times 14$$

Do the multiplications in the fraction \frac{22\times 361}{7\times 16}.

$$\frac{7942}{112}\times 14$$

Reduce the fraction \frac{7942}{112} to lowest terms by extracting and canceling out 2.

$$\frac{3971}{56}\times 14$$

Express \frac{3971}{56}\times 14 as a single fraction.

$$\frac{3971\times 14}{56}$$

Multiply 3971 and 14 to get 55594.

$$\frac{55594}{56}$$

Reduce the fraction \frac{55594}{56} to lowest terms by extracting and canceling out 14.

$$\frac{3971}{4}$$

Factor

$$\frac{11 \cdot 19 ^ {2}}{2 ^ {2}} = 992\frac{3}{4} = 992.75$$