Solve 1/1290/frac{100{273}}*1.29*10^3

$$\frac { \frac { 1 } { 1290 } } { \frac { 100 } { 273 } } \times 1.29 \times 10 ^ { 3 }$$

Evaluate

$$2.73$$

Solution Steps

Divide \frac{1}{1290} by \frac{100}{273} by multiplying \frac{1}{1290} by the reciprocal of \frac{100}{273}.

$$\frac{1}{1290}\times \frac{273}{100}\times 1.29\times 10^{3}$$

Multiply \frac{1}{1290} times \frac{273}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 273}{1290\times 100}\times 1.29\times 10^{3}$$

Do the multiplications in the fraction \frac{1\times 273}{1290\times 100}.

$$\frac{273}{129000}\times 1.29\times 10^{3}$$

Reduce the fraction \frac{273}{129000} to lowest terms by extracting and canceling out 3.

$$\frac{91}{43000}\times 1.29\times 10^{3}$$

Convert decimal number 1.29 to fraction \frac{129}{100}.

$$\frac{91}{43000}\times \frac{129}{100}\times 10^{3}$$

Multiply \frac{91}{43000} times \frac{129}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{91\times 129}{43000\times 100}\times 10^{3}$$

Do the multiplications in the fraction \frac{91\times 129}{43000\times 100}.

$$\frac{11739}{4300000}\times 10^{3}$$

Reduce the fraction \frac{11739}{4300000} to lowest terms by extracting and canceling out 43.

$$\frac{273}{100000}\times 10^{3}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{273}{100000}\times 1000$$

Express \frac{273}{100000}\times 1000 as a single fraction.

$$\frac{273\times 1000}{100000}$$

Multiply 273 and 1000 to get 273000.

$$\frac{273000}{100000}$$

Reduce the fraction \frac{273000}{100000} to lowest terms by extracting and canceling out 1000.

$$\frac{273}{100}$$

Factor

$$\frac{3 \cdot 7 \cdot 13}{2 ^ {2} \cdot 5 ^ {2}} = 2\frac{73}{100} = 2.73$$