Solve 0.71*1.78/0.012*10

$$0.71 \times \frac{ 1.78 }{ 0.012 } \times 10$$

Evaluate

$$\frac{6319}{6}\approx 1053.166666667$$

Solution Steps

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

$$0.71\times \frac{1780}{12}\times 10$$

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

$$0.71\times \frac{445}{3}\times 10$$

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

$$\frac{71}{100}\times \frac{445}{3}\times 10$$

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

$$\frac{71\times 445}{100\times 3}\times 10$$

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

$$\frac{31595}{300}\times 10$$

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

$$\frac{6319}{60}\times 10$$

Express \frac{6319}{60}\times 10 as a single fraction.

$$\frac{6319\times 10}{60}$$

Multiply 6319 and 10 to get 63190.

$$\frac{63190}{60}$$

Reduce the fraction \frac{63190}{60} to lowest terms by extracting and canceling out 10.

$$\frac{6319}{6}$$

Factor

$$\frac{71 \cdot 89}{2 \cdot 3} = 1053\frac{1}{6} = 1053.1666666666667$$