Solve 567/8+447/8-1

$$56 \frac { 7 } { 8 } + 44 \frac { 7 } { 8 } - 1$$

Evaluate

$$\frac{403}{4}=100.75$$

Solution Steps

Multiply 56 and 8 to get 448.

$$\frac{448+7}{8}+\frac{44\times 8+7}{8}-1$$

Add 448 and 7 to get 455.

$$\frac{455}{8}+\frac{44\times 8+7}{8}-1$$

Multiply 44 and 8 to get 352.

$$\frac{455}{8}+\frac{352+7}{8}-1$$

Add 352 and 7 to get 359.

$$\frac{455}{8}+\frac{359}{8}-1$$

Since \frac{455}{8} and \frac{359}{8} have the same denominator, add them by adding their numerators.

$$\frac{455+359}{8}-1$$

Add 455 and 359 to get 814.

$$\frac{814}{8}-1$$

Reduce the fraction \frac{814}{8} to lowest terms by extracting and canceling out 2.

$$\frac{407}{4}-1$$

Convert 1 to fraction \frac{4}{4}.

$$\frac{407}{4}-\frac{4}{4}$$

Since \frac{407}{4} and \frac{4}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{407-4}{4}$$

Subtract 4 from 407 to get 403.

$$\frac{403}{4}$$

Factor

$$\frac{13 \cdot 31}{2 ^ {2}} = 100\frac{3}{4} = 100.75$$