Solve 10*1.00+7*1.00+6*1.00+8*0.00+7*0.00/15*1.00+15*1.00+15*1.00+15*0.00+15*0.00*100

$$\frac { 10 \times 1.00 + 7 \times 1.00 + 6 \times 1.00 + 8 \times 0.00 + 7 \times 0.00 } { 15 \times 1.00 + 15 \times 1.00 + 15 \times 1.00 + 15 \times 0.00 + 15 \times 0.00 } \times 100$$

Evaluate

$$\frac{460}{9}\approx 51.111111111$$

Solution Steps

Multiply 10 and 1 to get 10. Multiply 7 and 1 to get 7. Multiply 6 and 1 to get 6. Multiply 8 and 0 to get 0. Multiply 7 and 0 to get 0.

$$\frac{10+7+6+0+0}{15\times 1+15\times 1+15\times 1+15\times 0+15\times 0}\times 100$$

Add 10 and 7 to get 17.

$$\frac{17+6+0+0}{15\times 1+15\times 1+15\times 1+15\times 0+15\times 0}\times 100$$

Add 17 and 6 to get 23.

$$\frac{23+0+0}{15\times 1+15\times 1+15\times 1+15\times 0+15\times 0}\times 100$$

Add 23 and 0 to get 23.

$$\frac{23+0}{15\times 1+15\times 1+15\times 1+15\times 0+15\times 0}\times 100$$

Add 23 and 0 to get 23.

$$\frac{23}{15\times 1+15\times 1+15\times 1+15\times 0+15\times 0}\times 100$$

Multiply 15 and 1 to get 15. Multiply 15 and 1 to get 15. Multiply 15 and 1 to get 15. Multiply 15 and 0 to get 0. Multiply 15 and 0 to get 0.

$$\frac{23}{15+15+15+0+0}\times 100$$

Add 15 and 15 to get 30.

$$\frac{23}{30+15+0+0}\times 100$$

Add 30 and 15 to get 45.

$$\frac{23}{45+0+0}\times 100$$

Add 45 and 0 to get 45.

$$\frac{23}{45+0}\times 100$$

Add 45 and 0 to get 45.

$$\frac{23}{45}\times 100$$

Express \frac{23}{45}\times 100 as a single fraction.

$$\frac{23\times 100}{45}$$

Multiply 23 and 100 to get 2300.

$$\frac{2300}{45}$$

Reduce the fraction \frac{2300}{45} to lowest terms by extracting and canceling out 5.

$$\frac{460}{9}$$

Factor

$$\frac{2 ^ {2} \cdot 5 \cdot 23}{3 ^ {2}} = 51\frac{1}{9} = 51.111111111111114$$