Solve 0.8/1+frac{1{4}}

$$\frac{ 0.8 }{ 1+ \frac{ 1 }{ 4 } }$$

Evaluate

$$0.64$$

Solution Steps

Convert 1 to fraction \frac{4}{4}.

$$\frac{0.8}{\frac{4}{4}+\frac{1}{4}}$$

Since \frac{4}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{0.8}{\frac{4+1}{4}}$$

Add 4 and 1 to get 5.

$$\frac{0.8}{\frac{5}{4}}$$

Divide 0.8 by \frac{5}{4} by multiplying 0.8 by the reciprocal of \frac{5}{4}.

$$0.8\times \frac{4}{5}$$

Convert decimal number 0.8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{4}{5}\times \frac{4}{5}$$

Multiply \frac{4}{5} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 4}{5\times 5}$$

Do the multiplications in the fraction \frac{4\times 4}{5\times 5}.

$$\frac{16}{25}$$

Factor

$$\frac{2 ^ {4}}{5 ^ {2}} = 0.64$$