Solve 78*96div56*23-258=

$$78 \times 96 \div 56 \times 23-258=$$

Evaluate

$$\frac{19722}{7}\approx 2817.428571429$$

Solution Steps

Multiply 78 and 96 to get 7488.

$$\frac{7488}{56}\times 23-258$$

Reduce the fraction \frac{7488}{56} to lowest terms by extracting and canceling out 8.

$$\frac{936}{7}\times 23-258$$

Express \frac{936}{7}\times 23 as a single fraction.

$$\frac{936\times 23}{7}-258$$

Multiply 936 and 23 to get 21528.

$$\frac{21528}{7}-258$$

Convert 258 to fraction \frac{1806}{7}.

$$\frac{21528}{7}-\frac{1806}{7}$$

Since \frac{21528}{7} and \frac{1806}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21528-1806}{7}$$

Subtract 1806 from 21528 to get 19722.

$$\frac{19722}{7}$$

Factor

$$\frac{2 \cdot 3 \cdot 19 \cdot 173}{7} = 2817\frac{3}{7} = 2817.4285714285716$$