Solve .86:43/20

$$.86 : \frac { 43 } { 20 }$$

Evaluate

$$0.4$$

Solution Steps

Divide 0.86 by \frac{43}{20} by multiplying 0.86 by the reciprocal of \frac{43}{20}.

$$0.86\times \frac{20}{43}$$

Convert decimal number 0.86 to fraction \frac{86}{100}. Reduce the fraction \frac{86}{100} to lowest terms by extracting and canceling out 2.

$$\frac{43}{50}\times \frac{20}{43}$$

Multiply \frac{43}{50} times \frac{20}{43} by multiplying numerator times numerator and denominator times denominator.

$$\frac{43\times 20}{50\times 43}$$

Cancel out 43 in both numerator and denominator.

$$\frac{20}{50}$$

Reduce the fraction \frac{20}{50} to lowest terms by extracting and canceling out 10.

$$\frac{2}{5}$$

Factor

$$\frac{2}{5} = 0.4$$