Solve 5.83*5.83*5.83+4.17*4.17*4.17/5.83*5.83-5.83*4.17+4.17*4.17

$$\frac { 5.83 \times 5.83 \times 5.83 + 4.17 \times 4.17 \times 4.17 } { 5.83 \times 5.83 - 5.83 \times 4.17 + 4.17 \times 4.17 }$$

Evaluate

$$10$$

Solution Steps

Multiply 5.83 and 5.83 to get 33.9889.

$$\frac{33.9889\times 5.83+4.17\times 4.17\times 4.17}{5.83\times 5.83-5.83\times 4.17+4.17\times 4.17}$$

Multiply 33.9889 and 5.83 to get 198.155287.

$$\frac{198.155287+4.17\times 4.17\times 4.17}{5.83\times 5.83-5.83\times 4.17+4.17\times 4.17}$$

Multiply 4.17 and 4.17 to get 17.3889.

$$\frac{198.155287+17.3889\times 4.17}{5.83\times 5.83-5.83\times 4.17+4.17\times 4.17}$$

Multiply 17.3889 and 4.17 to get 72.511713.

$$\frac{198.155287+72.511713}{5.83\times 5.83-5.83\times 4.17+4.17\times 4.17}$$

Add 198.155287 and 72.511713 to get 270.667.

$$\frac{270.667}{5.83\times 5.83-5.83\times 4.17+4.17\times 4.17}$$

Multiply 5.83 and 5.83 to get 33.9889.

$$\frac{270.667}{33.9889-5.83\times 4.17+4.17\times 4.17}$$

Multiply 5.83 and 4.17 to get 24.3111.

$$\frac{270.667}{33.9889-24.3111+4.17\times 4.17}$$

Subtract 24.3111 from 33.9889 to get 9.6778.

$$\frac{270.667}{9.6778+4.17\times 4.17}$$

Multiply 4.17 and 4.17 to get 17.3889.

$$\frac{270.667}{9.6778+17.3889}$$

Add 9.6778 and 17.3889 to get 27.0667.

$$\frac{270.667}{27.0667}$$

Expand \frac{270.667}{27.0667} by multiplying both numerator and the denominator by 10000.

$$\frac{2706670}{270667}$$

Divide 2706670 by 270667 to get 10.

$$10$$

Factor

$$2\times 5$$