Solve 567/8%text{of}810m

$$56 \frac { 7 } { 8 } \% \text { of } 810 m$$

Evaluate

$$\frac{7371m}{16}$$

Solution Steps

Express \frac{\frac{56\times 8+7}{8}}{100} as a single fraction.

$$\frac{56\times 8+7}{8\times 100}\times 810m$$

Multiply 56 and 8 to get 448.

$$\frac{448+7}{8\times 100}\times 810m$$

Add 448 and 7 to get 455.

$$\frac{455}{8\times 100}\times 810m$$

Multiply 8 and 100 to get 800.

$$\frac{455}{800}\times 810m$$

Reduce the fraction \frac{455}{800} to lowest terms by extracting and canceling out 5.

$$\frac{91}{160}\times 810m$$

Express \frac{91}{160}\times 810 as a single fraction.

$$\frac{91\times 810}{160}m$$

Multiply 91 and 810 to get 73710.

$$\frac{73710}{160}m$$

Reduce the fraction \frac{73710}{160} to lowest terms by extracting and canceling out 10.

$$\frac{7371}{16}m$$

Expand

$$\frac{7371m}{16}$$

Solution Steps

Express \frac{\frac{56\times 8+7}{8}}{100} as a single fraction.

$$\frac{56\times 8+7}{8\times 100}\times 810m$$

Multiply 56 and 8 to get 448.

$$\frac{448+7}{8\times 100}\times 810m$$

Add 448 and 7 to get 455.

$$\frac{455}{8\times 100}\times 810m$$

Multiply 8 and 100 to get 800.

$$\frac{455}{800}\times 810m$$

Reduce the fraction \frac{455}{800} to lowest terms by extracting and canceling out 5.

$$\frac{91}{160}\times 810m$$

Express \frac{91}{160}\times 810 as a single fraction.

$$\frac{91\times 810}{160}m$$

Multiply 91 and 810 to get 73710.

$$\frac{73710}{160}m$$

Reduce the fraction \frac{73710}{160} to lowest terms by extracting and canceling out 10.

$$\frac{7371}{16}m$$