Solve 52*10^3/0.3*0.3+3*52*10^3/0.35*0.35

$$\frac { 52 \times 10 ^ { 3 } } { 0.3 \times 0.3 } + \frac { 3 \times 52 \times 10 ^ { 3 } } { 0.35 \times 0.35 }$$

Evaluate

$$\frac{816400000}{441}\approx 1851247.16553288$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$\frac{52\times 1000}{0.3\times 0.3}+\frac{3\times 52\times 10^{3}}{0.35\times 0.35}$$

Multiply 52 and 1000 to get 52000.

$$\frac{52000}{0.3\times 0.3}+\frac{3\times 52\times 10^{3}}{0.35\times 0.35}$$

Multiply 0.3 and 0.3 to get 0.09.

$$\frac{52000}{0.09}+\frac{3\times 52\times 10^{3}}{0.35\times 0.35}$$

Expand \frac{52000}{0.09} by multiplying both numerator and the denominator by 100.

$$\frac{5200000}{9}+\frac{3\times 52\times 10^{3}}{0.35\times 0.35}$$

Multiply 3 and 52 to get 156.

$$\frac{5200000}{9}+\frac{156\times 10^{3}}{0.35\times 0.35}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{5200000}{9}+\frac{156\times 1000}{0.35\times 0.35}$$

Multiply 156 and 1000 to get 156000.

$$\frac{5200000}{9}+\frac{156000}{0.35\times 0.35}$$

Multiply 0.35 and 0.35 to get 0.1225.

$$\frac{5200000}{9}+\frac{156000}{0.1225}$$

Expand \frac{156000}{0.1225} by multiplying both numerator and the denominator by 10000.

$$\frac{5200000}{9}+\frac{1560000000}{1225}$$

Reduce the fraction \frac{1560000000}{1225} to lowest terms by extracting and canceling out 25.

$$\frac{5200000}{9}+\frac{62400000}{49}$$

Least common multiple of 9 and 49 is 441. Convert \frac{5200000}{9} and \frac{62400000}{49} to fractions with denominator 441.

$$\frac{254800000}{441}+\frac{561600000}{441}$$

Since \frac{254800000}{441} and \frac{561600000}{441} have the same denominator, add them by adding their numerators.

$$\frac{254800000+561600000}{441}$$

Add 254800000 and 561600000 to get 816400000.

$$\frac{816400000}{441}$$

Factor

$$\frac{13 \cdot 157 \cdot 2 ^ {7} \cdot 5 ^ {5}}{3 ^ {2} \cdot 7 ^ {2}} = 1851247\frac{73}{441} = 1851247.1655328798$$