Solve 17^2*37/8-2^2-4^3div19/100=

$${ 17 }^{ 2 } \times 3 \frac { 7 } { 8 } - { 2 }^{ 2 } - { 4 }^{ 3 } \div \frac{ 19 }{ 100 } =$$

Evaluate

$$\frac{118413}{152}\approx 779.032894737$$

Solution Steps

Calculate 17 to the power of 2 and get 289.

$$289\times \frac{3\times 8+7}{8}-2^{2}-\frac{4^{3}}{\frac{19}{100}}$$

Multiply 3 and 8 to get 24.

$$289\times \frac{24+7}{8}-2^{2}-\frac{4^{3}}{\frac{19}{100}}$$

Add 24 and 7 to get 31.

$$289\times \frac{31}{8}-2^{2}-\frac{4^{3}}{\frac{19}{100}}$$

Express 289\times \frac{31}{8} as a single fraction.

$$\frac{289\times 31}{8}-2^{2}-\frac{4^{3}}{\frac{19}{100}}$$

Multiply 289 and 31 to get 8959.

$$\frac{8959}{8}-2^{2}-\frac{4^{3}}{\frac{19}{100}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{8959}{8}-4-\frac{4^{3}}{\frac{19}{100}}$$

Convert 4 to fraction \frac{32}{8}.

$$\frac{8959}{8}-\frac{32}{8}-\frac{4^{3}}{\frac{19}{100}}$$

Since \frac{8959}{8} and \frac{32}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8959-32}{8}-\frac{4^{3}}{\frac{19}{100}}$$

Subtract 32 from 8959 to get 8927.

$$\frac{8927}{8}-\frac{4^{3}}{\frac{19}{100}}$$

Calculate 4 to the power of 3 and get 64.

$$\frac{8927}{8}-\frac{64}{\frac{19}{100}}$$

Divide 64 by \frac{19}{100} by multiplying 64 by the reciprocal of \frac{19}{100}.

$$\frac{8927}{8}-64\times \frac{100}{19}$$

Express 64\times \frac{100}{19} as a single fraction.

$$\frac{8927}{8}-\frac{64\times 100}{19}$$

Multiply 64 and 100 to get 6400.

$$\frac{8927}{8}-\frac{6400}{19}$$

Least common multiple of 8 and 19 is 152. Convert \frac{8927}{8} and \frac{6400}{19} to fractions with denominator 152.

$$\frac{169613}{152}-\frac{51200}{152}$$

Since \frac{169613}{152} and \frac{51200}{152} have the same denominator, subtract them by subtracting their numerators.

$$\frac{169613-51200}{152}$$

Subtract 51200 from 169613 to get 118413.

$$\frac{118413}{152}$$

Factor

$$\frac{3 ^ {2} \cdot 59 \cdot 223}{2 ^ {3} \cdot 19} = 779\frac{5}{152} = 779.0328947368421$$