Solve 54000+200/3200*(78*000+120/400x)

$$54000 + \frac { 200 } { 3200 } \cdot ( 78 \cdot 000 + \frac { 120 } { 400 } x )$$

Evaluate

$$\frac{3x}{160}+54000$$

Solution Steps

Reduce the fraction \frac{200}{3200} to lowest terms by extracting and canceling out 200.

$$54000+\frac{1}{16}\left(78\times 0\times 0\times 0+\frac{120}{400}x\right)$$

Multiply 78 and 0 to get 0.

$$54000+\frac{1}{16}\left(0\times 0\times 0+\frac{120}{400}x\right)$$

Multiply 0 and 0 to get 0.

$$54000+\frac{1}{16}\left(0\times 0+\frac{120}{400}x\right)$$

Multiply 0 and 0 to get 0.

$$54000+\frac{1}{16}\left(0+\frac{120}{400}x\right)$$

Reduce the fraction \frac{120}{400} to lowest terms by extracting and canceling out 40.

$$54000+\frac{1}{16}\left(0+\frac{3}{10}x\right)$$

Anything plus zero gives itself.

$$54000+\frac{1}{16}\times \frac{3}{10}x$$

Multiply \frac{1}{16} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$54000+\frac{1\times 3}{16\times 10}x$$

Do the multiplications in the fraction \frac{1\times 3}{16\times 10}.

$$54000+\frac{3}{160}x$$

Expand

$$\frac{3x}{160}+54000$$

Solution Steps

Reduce the fraction \frac{200}{3200} to lowest terms by extracting and canceling out 200.

$$54000+\frac{1}{16}\left(78\times 0\times 0\times 0+\frac{120}{400}x\right)$$

Multiply 78 and 0 to get 0.

$$54000+\frac{1}{16}\left(0\times 0\times 0+\frac{120}{400}x\right)$$

Multiply 0 and 0 to get 0.

$$54000+\frac{1}{16}\left(0\times 0+\frac{120}{400}x\right)$$

Multiply 0 and 0 to get 0.

$$54000+\frac{1}{16}\left(0+\frac{120}{400}x\right)$$

Reduce the fraction \frac{120}{400} to lowest terms by extracting and canceling out 40.

$$54000+\frac{1}{16}\left(0+\frac{3}{10}x\right)$$

Anything plus zero gives itself.

$$54000+\frac{1}{16}\times \frac{3}{10}x$$

Multiply \frac{1}{16} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$54000+\frac{1\times 3}{16\times 10}x$$

Do the multiplications in the fraction \frac{1\times 3}{16\times 10}.

$$54000+\frac{3}{160}x$$