Solve 275/frac{1.955{0.91*0.925}*13.01}

$$\frac{ 275 }{ \frac{ 1.955 }{ 0.91 \times 0.925 } \times 13.01 }$$

Evaluate

$$\frac{4629625}{508691}\approx 9.101055454$$

Solution Steps

Multiply 0.91 and 0.925 to get 0.84175.

$$\frac{275}{\frac{1.955}{0.84175}\times 13.01}$$

Expand \frac{1.955}{0.84175} by multiplying both numerator and the denominator by 100000.

$$\frac{275}{\frac{195500}{84175}\times 13.01}$$

Reduce the fraction \frac{195500}{84175} to lowest terms by extracting and canceling out 25.

$$\frac{275}{\frac{7820}{3367}\times 13.01}$$

Convert decimal number 13.01 to fraction \frac{1301}{100}.

$$\frac{275}{\frac{7820}{3367}\times \frac{1301}{100}}$$

Multiply \frac{7820}{3367} times \frac{1301}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{275}{\frac{7820\times 1301}{3367\times 100}}$$

Do the multiplications in the fraction \frac{7820\times 1301}{3367\times 100}.

$$\frac{275}{\frac{10173820}{336700}}$$

Reduce the fraction \frac{10173820}{336700} to lowest terms by extracting and canceling out 20.

$$\frac{275}{\frac{508691}{16835}}$$

Divide 275 by \frac{508691}{16835} by multiplying 275 by the reciprocal of \frac{508691}{16835}.

$$275\times \frac{16835}{508691}$$

Express 275\times \frac{16835}{508691} as a single fraction.

$$\frac{275\times 16835}{508691}$$

Multiply 275 and 16835 to get 4629625.

$$\frac{4629625}{508691}$$

Factor

$$\frac{7 \cdot 11 \cdot 13 \cdot 37 \cdot 5 ^ {3}}{17 \cdot 23 \cdot 1301} = 9\frac{51406}{508691} = 9.101055454096889$$