Solve 0.56*1/22.46.02*10^23/1

$$0.56 \times \frac{ 1 }{ 22.4 } \frac{ 6.02 \times { 10 }^{ 23 } }{ 1 }$$

Evaluate

$$15050000000000000000000$$

Solution Steps

Expand \frac{1}{22.4} by multiplying both numerator and the denominator by 10.

$$0.56\times \frac{10}{224}\times \frac{6.02\times 10^{23}}{1}$$

Reduce the fraction \frac{10}{224} to lowest terms by extracting and canceling out 2.

$$0.56\times \frac{5}{112}\times \frac{6.02\times 10^{23}}{1}$$

Convert decimal number 0.56 to fraction \frac{56}{100}. Reduce the fraction \frac{56}{100} to lowest terms by extracting and canceling out 4.

$$\frac{14}{25}\times \frac{5}{112}\times \frac{6.02\times 10^{23}}{1}$$

Multiply \frac{14}{25} times \frac{5}{112} by multiplying numerator times numerator and denominator times denominator.

$$\frac{14\times 5}{25\times 112}\times \frac{6.02\times 10^{23}}{1}$$

Do the multiplications in the fraction \frac{14\times 5}{25\times 112}.

$$\frac{70}{2800}\times \frac{6.02\times 10^{23}}{1}$$

Reduce the fraction \frac{70}{2800} to lowest terms by extracting and canceling out 70.

$$\frac{1}{40}\times \frac{6.02\times 10^{23}}{1}$$

Calculate 10 to the power of 23 and get 100000000000000000000000.

$$\frac{1}{40}\times \frac{6.02\times 100000000000000000000000}{1}$$

Multiply 6.02 and 100000000000000000000000 to get 602000000000000000000000.

$$\frac{1}{40}\times \frac{602000000000000000000000}{1}$$

Anything divided by one gives itself.

$$\frac{1}{40}\times 602000000000000000000000$$

Multiply \frac{1}{40} and 602000000000000000000000 to get \frac{602000000000000000000000}{40}.

$$\frac{602000000000000000000000}{40}$$

Divide 602000000000000000000000 by 40 to get 15050000000000000000000.

$$15050000000000000000000$$

Factor

$$7\times 43\times 2^{19}\times 5^{20}$$