Solve 0.71*1.78/0.012*100

$$0.71 \times \frac{ 1.78 }{ 0.012 } \times 100$$

Evaluate

$$\frac{31595}{3}\approx 10531.666666667$$

Solution Steps

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

$$0.71\times \frac{1780}{12}\times 100$$

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

$$0.71\times \frac{445}{3}\times 100$$

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

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

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

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

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

$$\frac{31595}{300}\times 100$$

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

$$\frac{6319}{60}\times 100$$

Express \frac{6319}{60}\times 100 as a single fraction.

$$\frac{6319\times 100}{60}$$

Multiply 6319 and 100 to get 631900.

$$\frac{631900}{60}$$

Reduce the fraction \frac{631900}{60} to lowest terms by extracting and canceling out 20.

$$\frac{31595}{3}$$

Factor

$$\frac{5 \cdot 71 \cdot 89}{3} = 10531\frac{2}{3} = 10531.666666666666$$