Solve 0.75/1frac{1{4}}div2/3

$$\frac{ 0.75 }{ 1 \frac{ 1 }{ 4 } } \div \frac{ 2 }{ 3 }$$

Evaluate

$$0.9$$

Solution Steps

Divide \frac{0.75}{\frac{1\times 4+1}{4}} by \frac{2}{3} by multiplying \frac{0.75}{\frac{1\times 4+1}{4}} by the reciprocal of \frac{2}{3}.

$$\frac{0.75\times 3}{\frac{1\times 4+1}{4}\times 2}$$

Multiply 0.75 and 3 to get 2.25.

$$\frac{2.25}{\frac{1\times 4+1}{4}\times 2}$$

Multiply 1 and 4 to get 4.

$$\frac{2.25}{\frac{4+1}{4}\times 2}$$

Add 4 and 1 to get 5.

$$\frac{2.25}{\frac{5}{4}\times 2}$$

Express \frac{5}{4}\times 2 as a single fraction.

$$\frac{2.25}{\frac{5\times 2}{4}}$$

Multiply 5 and 2 to get 10.

$$\frac{2.25}{\frac{10}{4}}$$

Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.

$$\frac{2.25}{\frac{5}{2}}$$

Divide 2.25 by \frac{5}{2} by multiplying 2.25 by the reciprocal of \frac{5}{2}.

$$2.25\times \frac{2}{5}$$

Convert decimal number 2.25 to fraction \frac{225}{100}. Reduce the fraction \frac{225}{100} to lowest terms by extracting and canceling out 25.

$$\frac{9}{4}\times \frac{2}{5}$$

Multiply \frac{9}{4} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 2}{4\times 5}$$

Do the multiplications in the fraction \frac{9\times 2}{4\times 5}.

$$\frac{18}{20}$$

Reduce the fraction \frac{18}{20} to lowest terms by extracting and canceling out 2.

$$\frac{9}{10}$$

Factor

$$\frac{3 ^ {2}}{2 \cdot 5} = 0.9$$