Solve 0.91div4/5+1.25*1.09

$$0.91 \div \frac { 4 } { 5 } + 1.25 \times 1.09$$

Evaluate

$$2.5$$

Solution Steps

Divide 0.91 by \frac{4}{5} by multiplying 0.91 by the reciprocal of \frac{4}{5}.

$$0.91\times \frac{5}{4}+1.25\times 1.09$$

Convert decimal number 0.91 to fraction \frac{91}{100}.

$$\frac{91}{100}\times \frac{5}{4}+1.25\times 1.09$$

Multiply \frac{91}{100} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{91\times 5}{100\times 4}+1.25\times 1.09$$

Do the multiplications in the fraction \frac{91\times 5}{100\times 4}.

$$\frac{455}{400}+1.25\times 1.09$$

Reduce the fraction \frac{455}{400} to lowest terms by extracting and canceling out 5.

$$\frac{91}{80}+1.25\times 1.09$$

Multiply 1.25 and 1.09 to get 1.3625.

$$\frac{91}{80}+1.3625$$

Convert decimal number 1.3625 to fraction \frac{13625}{10000}. Reduce the fraction \frac{13625}{10000} to lowest terms by extracting and canceling out 125.

$$\frac{91}{80}+\frac{109}{80}$$

Since \frac{91}{80} and \frac{109}{80} have the same denominator, add them by adding their numerators.

$$\frac{91+109}{80}$$

Add 91 and 109 to get 200.

$$\frac{200}{80}$$

Reduce the fraction \frac{200}{80} to lowest terms by extracting and canceling out 40.

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

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$