Solve 0.8*0.98^3/0.8*0.88^3+0.10*0.9^3+0.06*0.1^3

$$\frac { 0.8 \times 0.98 ^ { 3 } } { 0.8 \times 0.88 ^ { 3 } + 0.10 \times 0.9 ^ { 3 } + 0.06 \times 0.1 ^ { 3 } }$$

Evaluate

$$\frac{117649}{96584}\approx 1.218100306$$

Solution Steps

Calculate 0.98 to the power of 3 and get 0.941192.

$$\frac{0.8\times 0.941192}{0.8\times 0.88^{3}+0.1\times 0.9^{3}+0.06\times 0.1^{3}}$$

Multiply 0.8 and 0.941192 to get 0.7529536.

$$\frac{0.7529536}{0.8\times 0.88^{3}+0.1\times 0.9^{3}+0.06\times 0.1^{3}}$$

Calculate 0.88 to the power of 3 and get 0.681472.

$$\frac{0.7529536}{0.8\times 0.681472+0.1\times 0.9^{3}+0.06\times 0.1^{3}}$$

Multiply 0.8 and 0.681472 to get 0.5451776.

$$\frac{0.7529536}{0.5451776+0.1\times 0.9^{3}+0.06\times 0.1^{3}}$$

Calculate 0.9 to the power of 3 and get 0.729.

$$\frac{0.7529536}{0.5451776+0.1\times 0.729+0.06\times 0.1^{3}}$$

Multiply 0.1 and 0.729 to get 0.0729.

$$\frac{0.7529536}{0.5451776+0.0729+0.06\times 0.1^{3}}$$

Add 0.5451776 and 0.0729 to get 0.6180776.

$$\frac{0.7529536}{0.6180776+0.06\times 0.1^{3}}$$

Calculate 0.1 to the power of 3 and get 0.001.

$$\frac{0.7529536}{0.6180776+0.06\times 0.001}$$

Multiply 0.06 and 0.001 to get 0.00006.

$$\frac{0.7529536}{0.6180776+0.00006}$$

Add 0.6180776 and 0.00006 to get 0.6181376.

$$\frac{0.7529536}{0.6181376}$$

Expand \frac{0.7529536}{0.6181376} by multiplying both numerator and the denominator by 10000000.

$$\frac{7529536}{6181376}$$

Reduce the fraction \frac{7529536}{6181376} to lowest terms by extracting and canceling out 64.

$$\frac{117649}{96584}$$

Factor

$$\frac{7 ^ {6}}{12073 \cdot 2 ^ {3}} = 1\frac{21065}{96584} = 1.2181003064689804$$