Solve =22/7(31.5+21)(31.5-21)et41^2

$$= \frac { 22 } { 7 } ( 31.5 + 21 ) ( 31.5 - 21 ) et 41 ^ { 2 }$$

Evaluate

$$\frac{5824665et}{2}$$

Solution Steps

Add 31.5 and 21 to get 52.5.

$$\frac{22}{7}\times 52.5\left(31.5-21\right)et\times 41^{2}$$

Convert decimal number 52.5 to fraction \frac{525}{10}. Reduce the fraction \frac{525}{10} to lowest terms by extracting and canceling out 5.

$$\frac{22}{7}\times \frac{105}{2}\left(31.5-21\right)et\times 41^{2}$$

Multiply \frac{22}{7} times \frac{105}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22\times 105}{7\times 2}\left(31.5-21\right)et\times 41^{2}$$

Do the multiplications in the fraction \frac{22\times 105}{7\times 2}.

$$\frac{2310}{14}\left(31.5-21\right)et\times 41^{2}$$

Divide 2310 by 14 to get 165.

$$165\left(31.5-21\right)et\times 41^{2}$$

Subtract 21 from 31.5 to get 10.5.

$$165\times 10.5et\times 41^{2}$$

Multiply 165 and 10.5 to get 1732.5.

$$1732.5et\times 41^{2}$$

Calculate 41 to the power of 2 and get 1681.

$$1732.5et\times 1681$$

Multiply 1732.5 and 1681 to get 2912332.5.

$$2912332.5et$$

Expand

$$\frac{5824665et}{2}$$

Solution Steps

Add 31.5 and 21 to get 52.5.

$$\frac{22}{7}\times 52.5\left(31.5-21\right)et\times 41^{2}$$

Convert decimal number 52.5 to fraction \frac{525}{10}. Reduce the fraction \frac{525}{10} to lowest terms by extracting and canceling out 5.

$$\frac{22}{7}\times \frac{105}{2}\left(31.5-21\right)et\times 41^{2}$$

Multiply \frac{22}{7} times \frac{105}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22\times 105}{7\times 2}\left(31.5-21\right)et\times 41^{2}$$

Do the multiplications in the fraction \frac{22\times 105}{7\times 2}.

$$\frac{2310}{14}\left(31.5-21\right)et\times 41^{2}$$

Divide 2310 by 14 to get 165.

$$165\left(31.5-21\right)et\times 41^{2}$$

Subtract 21 from 31.5 to get 10.5.

$$165\times 10.5et\times 41^{2}$$

Multiply 165 and 10.5 to get 1732.5.

$$1732.5et\times 41^{2}$$

Calculate 41 to the power of 2 and get 1681.

$$1732.5et\times 1681$$

Multiply 1732.5 and 1681 to get 2912332.5.

$$2912332.5et$$