Solve 1235/8*11/2-235/8*11/2

$$123 \frac { 5 } { 8 } \cdot 1 \frac { 1 } { 2 } - 23 \frac { 5 } { 8 } \cdot 1 \frac { 1 } { 2 }$$

Evaluate

$$150$$

Solution Steps

Multiply 123 and 8 to get 984.

$$\frac{984+5}{8}\times \frac{1\times 2+1}{2}-\frac{23\times 8+5}{8}\times \frac{1\times 2+1}{2}$$

Add 984 and 5 to get 989.

$$\frac{989}{8}\times \frac{1\times 2+1}{2}-\frac{23\times 8+5}{8}\times \frac{1\times 2+1}{2}$$

Multiply 1 and 2 to get 2.

$$\frac{989}{8}\times \frac{2+1}{2}-\frac{23\times 8+5}{8}\times \frac{1\times 2+1}{2}$$

Add 2 and 1 to get 3.

$$\frac{989}{8}\times \frac{3}{2}-\frac{23\times 8+5}{8}\times \frac{1\times 2+1}{2}$$

Multiply \frac{989}{8} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{989\times 3}{8\times 2}-\frac{23\times 8+5}{8}\times \frac{1\times 2+1}{2}$$

Do the multiplications in the fraction \frac{989\times 3}{8\times 2}.

$$\frac{2967}{16}-\frac{23\times 8+5}{8}\times \frac{1\times 2+1}{2}$$

Multiply 23 and 8 to get 184.

$$\frac{2967}{16}-\frac{184+5}{8}\times \frac{1\times 2+1}{2}$$

Add 184 and 5 to get 189.

$$\frac{2967}{16}-\frac{189}{8}\times \frac{1\times 2+1}{2}$$

Multiply 1 and 2 to get 2.

$$\frac{2967}{16}-\frac{189}{8}\times \frac{2+1}{2}$$

Add 2 and 1 to get 3.

$$\frac{2967}{16}-\frac{189}{8}\times \frac{3}{2}$$

Multiply \frac{189}{8} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2967}{16}-\frac{189\times 3}{8\times 2}$$

Do the multiplications in the fraction \frac{189\times 3}{8\times 2}.

$$\frac{2967}{16}-\frac{567}{16}$$

Since \frac{2967}{16} and \frac{567}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2967-567}{16}$$

Subtract 567 from 2967 to get 2400.

$$\frac{2400}{16}$$

Divide 2400 by 16 to get 150.

$$150$$

Factor

$$2\times 3\times 5^{2}$$