Solve 7/10*3*10^8/1+frac{9/10+frac{5{5}}{1}}

$$\frac { \frac { 7 } { 10 } \times 3 \times 10 ^ { 8 } } { 1 + \frac { 9 / 10 + \frac { 5 } { 5 } } { 1 } }$$

Evaluate

$$\frac{2100000000}{29}\approx 72413793.103448276$$

Solution Steps

Divide 5 by 5 to get 1.

$$\frac{\frac{7}{10}\times 3\times 10^{8}}{1+\frac{\frac{9}{10}+1}{1}}$$

Express \frac{7}{10}\times 3 as a single fraction.

$$\frac{\frac{7\times 3}{10}\times 10^{8}}{1+\frac{\frac{9}{10}+1}{1}}$$

Multiply 7 and 3 to get 21.

$$\frac{\frac{21}{10}\times 10^{8}}{1+\frac{\frac{9}{10}+1}{1}}$$

Calculate 10 to the power of 8 and get 100000000.

$$\frac{\frac{21}{10}\times 100000000}{1+\frac{\frac{9}{10}+1}{1}}$$

Express \frac{21}{10}\times 100000000 as a single fraction.

$$\frac{\frac{21\times 100000000}{10}}{1+\frac{\frac{9}{10}+1}{1}}$$

Multiply 21 and 100000000 to get 2100000000.

$$\frac{\frac{2100000000}{10}}{1+\frac{\frac{9}{10}+1}{1}}$$

Divide 2100000000 by 10 to get 210000000.

$$\frac{210000000}{1+\frac{\frac{9}{10}+1}{1}}$$

Convert 1 to fraction \frac{10}{10}.

$$\frac{210000000}{1+\frac{\frac{9}{10}+\frac{10}{10}}{1}}$$

Since \frac{9}{10} and \frac{10}{10} have the same denominator, add them by adding their numerators.

$$\frac{210000000}{1+\frac{\frac{9+10}{10}}{1}}$$

Add 9 and 10 to get 19.

$$\frac{210000000}{1+\frac{\frac{19}{10}}{1}}$$

Anything divided by one gives itself.

$$\frac{210000000}{1+\frac{19}{10}}$$

Convert 1 to fraction \frac{10}{10}.

$$\frac{210000000}{\frac{10}{10}+\frac{19}{10}}$$

Since \frac{10}{10} and \frac{19}{10} have the same denominator, add them by adding their numerators.

$$\frac{210000000}{\frac{10+19}{10}}$$

Add 10 and 19 to get 29.

$$\frac{210000000}{\frac{29}{10}}$$

Divide 210000000 by \frac{29}{10} by multiplying 210000000 by the reciprocal of \frac{29}{10}.

$$210000000\times \frac{10}{29}$$

Express 210000000\times \frac{10}{29} as a single fraction.

$$\frac{210000000\times 10}{29}$$

Multiply 210000000 and 10 to get 2100000000.

$$\frac{2100000000}{29}$$

Factor

$$\frac{2 ^ {8} \cdot 3 \cdot 5 ^ {8} \cdot 7}{29} = 72413793\frac{3}{29} = 72413793.10344827$$