Solve 4,2*10^7*3,14div(4,32*10^4

$$4,2 \times 10 ^ { 7 } \times 3,14 \div ( 4,32 \times 10 ^ { 4 }$$

Evaluate

$$\frac{27475}{9}\approx 3052,777777778$$

Solution Steps

Cancel out 10^{4} in both numerator and denominator.

$$\frac{3,14\times 4,2\times 10^{3}}{4,32}$$

Multiply 3,14 and 4,2 to get 13,188.

$$\frac{13,188\times 10^{3}}{4,32}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{13,188\times 1000}{4,32}$$

Multiply 13,188 and 1000 to get 13188.

$$\frac{13188}{4,32}$$

Expand \frac{13188}{4,32} by multiplying both numerator and the denominator by 100.

$$\frac{1318800}{432}$$

Reduce the fraction \frac{1318800}{432} to lowest terms by extracting and canceling out 48.

$$\frac{27475}{9}$$

Factor

$$\frac{7 \cdot 157 \cdot 5 ^ {2}}{3 ^ {2}} = 3052\frac{7}{9} = 3052.777777777778$$