Solve 0.9*11/4+9.1div4/5

$$0.9 \times 1 \frac { 1 } { 4 } + 9.1 \div \frac { 4 } { 5 }$$

Evaluate

$$12.5$$

Solution Steps

Multiply 1 and 4 to get 4.

$$0.9\times \frac{4+1}{4}+\frac{9.1}{\frac{4}{5}}$$

Add 4 and 1 to get 5.

$$0.9\times \frac{5}{4}+\frac{9.1}{\frac{4}{5}}$$

Convert decimal number 0.9 to fraction \frac{9}{10}.

$$\frac{9}{10}\times \frac{5}{4}+\frac{9.1}{\frac{4}{5}}$$

Multiply \frac{9}{10} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 5}{10\times 4}+\frac{9.1}{\frac{4}{5}}$$

Do the multiplications in the fraction \frac{9\times 5}{10\times 4}.

$$\frac{45}{40}+\frac{9.1}{\frac{4}{5}}$$

Reduce the fraction \frac{45}{40} to lowest terms by extracting and canceling out 5.

$$\frac{9}{8}+\frac{9.1}{\frac{4}{5}}$$

Divide 9.1 by \frac{4}{5} by multiplying 9.1 by the reciprocal of \frac{4}{5}.

$$\frac{9}{8}+9.1\times \frac{5}{4}$$

Convert decimal number 9.1 to fraction \frac{91}{10}.

$$\frac{9}{8}+\frac{91}{10}\times \frac{5}{4}$$

Multiply \frac{91}{10} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9}{8}+\frac{91\times 5}{10\times 4}$$

Do the multiplications in the fraction \frac{91\times 5}{10\times 4}.

$$\frac{9}{8}+\frac{455}{40}$$

Reduce the fraction \frac{455}{40} to lowest terms by extracting and canceling out 5.

$$\frac{9}{8}+\frac{91}{8}$$

Since \frac{9}{8} and \frac{91}{8} have the same denominator, add them by adding their numerators.

$$\frac{9+91}{8}$$

Add 9 and 91 to get 100.

$$\frac{100}{8}$$

Reduce the fraction \frac{100}{8} to lowest terms by extracting and canceling out 4.

$$\frac{25}{2}$$

Factor

$$\frac{5 ^ {2}}{2} = 12\frac{1}{2} = 12.5$$