Solve 0.71*1.78/0.012/1.2

$$\frac{ 0.71 \times \frac{ 1.78 }{ 0.012 } }{ 1.2 }$$

Evaluate

$$\frac{6319}{72}\approx 87.763888889$$

Solution Steps

Expand \frac{1.78}{0.012} by multiplying both numerator and the denominator by 1000.

$$\frac{0.71\times \frac{1780}{12}}{1.2}$$

Reduce the fraction \frac{1780}{12} to lowest terms by extracting and canceling out 4.

$$\frac{0.71\times \frac{445}{3}}{1.2}$$

Convert decimal number 0.71 to fraction \frac{71}{100}.

$$\frac{\frac{71}{100}\times \frac{445}{3}}{1.2}$$

Multiply \frac{71}{100} times \frac{445}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{71\times 445}{100\times 3}}{1.2}$$

Do the multiplications in the fraction \frac{71\times 445}{100\times 3}.

$$\frac{\frac{31595}{300}}{1.2}$$

Reduce the fraction \frac{31595}{300} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{6319}{60}}{1.2}$$

Express \frac{\frac{6319}{60}}{1.2} as a single fraction.

$$\frac{6319}{60\times 1.2}$$

Multiply 60 and 1.2 to get 72.

$$\frac{6319}{72}$$

Factor

$$\frac{71 \cdot 89}{2 ^ {3} \cdot 3 ^ {2}} = 87\frac{55}{72} = 87.76388888888889$$