Solve 59755465/555*100.05%div2/frac{1{18}}*00.02

$$\frac{ 59755465 }{ 555 } \times 100.05 \% \div \frac{ 2 }{ \frac{ 1 }{ 18 } } \times 00.02$$

Evaluate

$$\frac{7971379031}{133200000}\approx 59.84518792$$

Solution Steps

Reduce the fraction \frac{59755465}{555} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{11951093}{111}\times \frac{100.05}{100}}{\frac{2}{\frac{1}{18}}}\times 0.02$$

Expand \frac{100.05}{100} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{11951093}{111}\times \frac{10005}{10000}}{\frac{2}{\frac{1}{18}}}\times 0.02$$

Reduce the fraction \frac{10005}{10000} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{11951093}{111}\times \frac{2001}{2000}}{\frac{2}{\frac{1}{18}}}\times 0.02$$

Multiply \frac{11951093}{111} times \frac{2001}{2000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{11951093\times 2001}{111\times 2000}}{\frac{2}{\frac{1}{18}}}\times 0.02$$

Do the multiplications in the fraction \frac{11951093\times 2001}{111\times 2000}.

$$\frac{\frac{23914137093}{222000}}{\frac{2}{\frac{1}{18}}}\times 0.02$$

Reduce the fraction \frac{23914137093}{222000} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{7971379031}{74000}}{\frac{2}{\frac{1}{18}}}\times 0.02$$

Divide 2 by \frac{1}{18} by multiplying 2 by the reciprocal of \frac{1}{18}.

$$\frac{\frac{7971379031}{74000}}{2\times 18}\times 0.02$$

Multiply 2 and 18 to get 36.

$$\frac{\frac{7971379031}{74000}}{36}\times 0.02$$

Express \frac{\frac{7971379031}{74000}}{36} as a single fraction.

$$\frac{7971379031}{74000\times 36}\times 0.02$$

Multiply 74000 and 36 to get 2664000.

$$\frac{7971379031}{2664000}\times 0.02$$

Convert decimal number 0.02 to fraction \frac{2}{100}. Reduce the fraction \frac{2}{100} to lowest terms by extracting and canceling out 2.

$$\frac{7971379031}{2664000}\times \frac{1}{50}$$

Multiply \frac{7971379031}{2664000} times \frac{1}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7971379031\times 1}{2664000\times 50}$$

Do the multiplications in the fraction \frac{7971379031\times 1}{2664000\times 50}.

$$\frac{7971379031}{133200000}$$

Factor

$$\frac{7 \cdot 11 \cdot 23 \cdot 29 \cdot 155209}{37 \cdot 2 ^ {7} \cdot 3 ^ {2} \cdot 5 ^ {5}} = 59\frac{112579031}{133200000} = 59.84518792042042$$