Solve 0.15*0.93/0.8*0.98^3+0.15*0.9^3+0.05*10.1^3

$$\frac { 0.15 \times 0.93 } { 0.8 \times 0.98 ^ { 3 } + 0.15 \times 0.9 ^ { 3 } + 0.05 \times 10.1 ^ { 3 } }$$

Evaluate

$$\frac{174375}{65471692}\approx 0.002663365$$

Solution Steps

Multiply 0.15 and 0.93 to get 0.1395.

$$\frac{0.1395}{0.8\times 0.98^{3}+0.15\times 0.9^{3}+0.05\times 10.1^{3}}$$

Calculate 0.98 to the power of 3 and get 0.941192.

$$\frac{0.1395}{0.8\times 0.941192+0.15\times 0.9^{3}+0.05\times 10.1^{3}}$$

Multiply 0.8 and 0.941192 to get 0.7529536.

$$\frac{0.1395}{0.7529536+0.15\times 0.9^{3}+0.05\times 10.1^{3}}$$

Calculate 0.9 to the power of 3 and get 0.729.

$$\frac{0.1395}{0.7529536+0.15\times 0.729+0.05\times 10.1^{3}}$$

Multiply 0.15 and 0.729 to get 0.10935.

$$\frac{0.1395}{0.7529536+0.10935+0.05\times 10.1^{3}}$$

Add 0.7529536 and 0.10935 to get 0.8623036.

$$\frac{0.1395}{0.8623036+0.05\times 10.1^{3}}$$

Calculate 10.1 to the power of 3 and get 1030.301.

$$\frac{0.1395}{0.8623036+0.05\times 1030.301}$$

Multiply 0.05 and 1030.301 to get 51.51505.

$$\frac{0.1395}{0.8623036+51.51505}$$

Add 0.8623036 and 51.51505 to get 52.3773536.

$$\frac{0.1395}{52.3773536}$$

Expand \frac{0.1395}{52.3773536} by multiplying both numerator and the denominator by 10000000.

$$\frac{1395000}{523773536}$$

Reduce the fraction \frac{1395000}{523773536} to lowest terms by extracting and canceling out 8.

$$\frac{174375}{65471692}$$

Factor

$$\frac{31 \cdot 3 ^ {2} \cdot 5 ^ {4}}{11 \cdot 13 \cdot 17 \cdot 6733 \cdot 2 ^ {2}} = 0.0026633648019971745$$