Solve 78*0.9div4*10div4

$$78 \times 0.9 \div 4 \times 10 \div 4$$

Evaluate

$$43.875$$

Solution Steps

Multiply 78 and 0.9 to get 70.2.

$$\frac{\frac{70.2}{4}\times 10}{4}$$

Expand \frac{70.2}{4} by multiplying both numerator and the denominator by 10.

$$\frac{\frac{702}{40}\times 10}{4}$$

Reduce the fraction \frac{702}{40} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{351}{20}\times 10}{4}$$

Express \frac{351}{20}\times 10 as a single fraction.

$$\frac{\frac{351\times 10}{20}}{4}$$

Multiply 351 and 10 to get 3510.

$$\frac{\frac{3510}{20}}{4}$$

Reduce the fraction \frac{3510}{20} to lowest terms by extracting and canceling out 10.

$$\frac{\frac{351}{2}}{4}$$

Express \frac{\frac{351}{2}}{4} as a single fraction.

$$\frac{351}{2\times 4}$$

Multiply 2 and 4 to get 8.

$$\frac{351}{8}$$

Factor

$$\frac{13 \cdot 3 ^ {3}}{2 ^ {3}} = 43\frac{7}{8} = 43.875$$