Solve 53/20/frac{77{4}1237/400}

$$\frac{ \frac{ 53 }{ 20 } }{ \frac{ 77 }{ 4 } \frac{ 1237 }{ 400 } }$$

Evaluate

$$\frac{4240}{95249}\approx 0.044514903$$

Solution Steps

Multiply \frac{77}{4} times \frac{1237}{400} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{53}{20}}{\frac{77\times 1237}{4\times 400}}$$

Do the multiplications in the fraction \frac{77\times 1237}{4\times 400}.

$$\frac{\frac{53}{20}}{\frac{95249}{1600}}$$

Divide \frac{53}{20} by \frac{95249}{1600} by multiplying \frac{53}{20} by the reciprocal of \frac{95249}{1600}.

$$\frac{53}{20}\times \frac{1600}{95249}$$

Multiply \frac{53}{20} times \frac{1600}{95249} by multiplying numerator times numerator and denominator times denominator.

$$\frac{53\times 1600}{20\times 95249}$$

Do the multiplications in the fraction \frac{53\times 1600}{20\times 95249}.

$$\frac{84800}{1904980}$$

Reduce the fraction \frac{84800}{1904980} to lowest terms by extracting and canceling out 20.

$$\frac{4240}{95249}$$

Factor

$$\frac{2 ^ {4} \cdot 5 \cdot 53}{7 \cdot 11 \cdot 1237} = 0.044514903043601506$$