Solve 100/23*6.022*10^23

$$\frac { 100 } { 23 } \times 6.022 \times 10 ^ { 23 }$$

Evaluate

$$\frac{60220000000000000000000000}{23}\approx 2.61826087 \cdot 10^{24}$$

Solution Steps

Convert decimal number 6.022 to fraction \frac{6022}{1000}. Reduce the fraction \frac{6022}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{100}{23}\times \frac{3011}{500}\times 10^{23}$$

Multiply \frac{100}{23} times \frac{3011}{500} by multiplying numerator times numerator and denominator times denominator.

$$\frac{100\times 3011}{23\times 500}\times 10^{23}$$

Do the multiplications in the fraction \frac{100\times 3011}{23\times 500}.

$$\frac{301100}{11500}\times 10^{23}$$

Reduce the fraction \frac{301100}{11500} to lowest terms by extracting and canceling out 100.

$$\frac{3011}{115}\times 10^{23}$$

Calculate 10 to the power of 23 and get 100000000000000000000000.

$$\frac{3011}{115}\times 100000000000000000000000$$

Express \frac{3011}{115}\times 100000000000000000000000 as a single fraction.

$$\frac{3011\times 100000000000000000000000}{115}$$

Multiply 3011 and 100000000000000000000000 to get 301100000000000000000000000.

$$\frac{301100000000000000000000000}{115}$$

Reduce the fraction \frac{301100000000000000000000000}{115} to lowest terms by extracting and canceling out 5.

$$\frac{60220000000000000000000000}{23}$$

Factor

$$\frac{3011 \cdot 2 ^ {23} \cdot 5 ^ {22}}{23} = 2.6182608695652174 \times 10^{24}$$