Solve 0.729*5/24+0.28div24/5

$$0.729 \times \frac { 5 } { 24 } + 0.28 \div \frac { 24 } { 5 }$$

Evaluate

$$\frac{1009}{4800}\approx 0.210208333$$

Solution Steps

Convert decimal number 0.729 to fraction \frac{729}{1000}.

$$\frac{729}{1000}\times \frac{5}{24}+\frac{0.28}{\frac{24}{5}}$$

Multiply \frac{729}{1000} times \frac{5}{24} by multiplying numerator times numerator and denominator times denominator.

$$\frac{729\times 5}{1000\times 24}+\frac{0.28}{\frac{24}{5}}$$

Do the multiplications in the fraction \frac{729\times 5}{1000\times 24}.

$$\frac{3645}{24000}+\frac{0.28}{\frac{24}{5}}$$

Reduce the fraction \frac{3645}{24000} to lowest terms by extracting and canceling out 15.

$$\frac{243}{1600}+\frac{0.28}{\frac{24}{5}}$$

Divide 0.28 by \frac{24}{5} by multiplying 0.28 by the reciprocal of \frac{24}{5}.

$$\frac{243}{1600}+0.28\times \frac{5}{24}$$

Convert decimal number 0.28 to fraction \frac{28}{100}. Reduce the fraction \frac{28}{100} to lowest terms by extracting and canceling out 4.

$$\frac{243}{1600}+\frac{7}{25}\times \frac{5}{24}$$

Multiply \frac{7}{25} times \frac{5}{24} by multiplying numerator times numerator and denominator times denominator.

$$\frac{243}{1600}+\frac{7\times 5}{25\times 24}$$

Do the multiplications in the fraction \frac{7\times 5}{25\times 24}.

$$\frac{243}{1600}+\frac{35}{600}$$

Reduce the fraction \frac{35}{600} to lowest terms by extracting and canceling out 5.

$$\frac{243}{1600}+\frac{7}{120}$$

Least common multiple of 1600 and 120 is 4800. Convert \frac{243}{1600} and \frac{7}{120} to fractions with denominator 4800.

$$\frac{729}{4800}+\frac{280}{4800}$$

Since \frac{729}{4800} and \frac{280}{4800} have the same denominator, add them by adding their numerators.

$$\frac{729+280}{4800}$$

Add 729 and 280 to get 1009.

$$\frac{1009}{4800}$$

Factor

$$\frac{1009}{3 \cdot 2 ^ {6} \cdot 5 ^ {2}} = 0.21020833333333333$$