Solve 4/3*3.4*10^3

$$\frac { 4 } { 3 } \times 3.4 \times 10 ^ { 3 }$$

Evaluate

$$\frac{13600}{3}\approx 4533.333333333$$

Solution Steps

Convert decimal number 3.4 to fraction \frac{34}{10}. Reduce the fraction \frac{34}{10} to lowest terms by extracting and canceling out 2.

$$\frac{4}{3}\times \frac{17}{5}\times 10^{3}$$

Multiply \frac{4}{3} times \frac{17}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 17}{3\times 5}\times 10^{3}$$

Do the multiplications in the fraction \frac{4\times 17}{3\times 5}.

$$\frac{68}{15}\times 10^{3}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{68}{15}\times 1000$$

Express \frac{68}{15}\times 1000 as a single fraction.

$$\frac{68\times 1000}{15}$$

Multiply 68 and 1000 to get 68000.

$$\frac{68000}{15}$$

Reduce the fraction \frac{68000}{15} to lowest terms by extracting and canceling out 5.

$$\frac{13600}{3}$$

Factor

$$\frac{17 \cdot 2 ^ {5} \cdot 5 ^ {2}}{3} = 4533\frac{1}{3} = 4533.333333333333$$