Solve N=64/23*6.022*10^23

$$N = \frac { 64 } { 23 } \times 6.022 \times 10 ^ { 23 }$$

Solve for N

$$N=\frac{38540800000000000000000000}{23}\approx 1.675686957 \cdot 10^{24}$$

Steps for Solving Linear Equation

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.

$$N=\frac{64}{23}\times \frac{3011}{500}\times 10^{23}$$

Multiply \frac{64}{23} times \frac{3011}{500} by multiplying numerator times numerator and denominator times denominator.

$$N=\frac{64\times 3011}{23\times 500}\times 10^{23}$$

Do the multiplications in the fraction \frac{64\times 3011}{23\times 500}.

$$N=\frac{192704}{11500}\times 10^{23}$$

Reduce the fraction \frac{192704}{11500} to lowest terms by extracting and canceling out 4.

$$N=\frac{48176}{2875}\times 10^{23}$$

Calculate 10 to the power of 23 and get 100000000000000000000000.

$$N=\frac{48176}{2875}\times 100000000000000000000000$$

Express \frac{48176}{2875}\times 100000000000000000000000 as a single fraction.

$$N=\frac{48176\times 100000000000000000000000}{2875}$$

Multiply 48176 and 100000000000000000000000 to get 4817600000000000000000000000.

$$N=\frac{4817600000000000000000000000}{2875}$$

Reduce the fraction \frac{4817600000000000000000000000}{2875} to lowest terms by extracting and canceling out 125.

$$N=\frac{38540800000000000000000000}{23}$$

Assign N

$$N≔\frac{38540800000000000000000000}{23}$$