Solve (11)9.3div(4div100/93)

$$( 11 ) 9.3 \div ( 4 \div \frac { 100 } { 93 } )$$

Evaluate

$$27.5$$

Solution Steps

Multiply 11 and 9.3 to get 102.3.

$$\frac{102.3}{\frac{4}{\frac{100}{93}}}$$

Divide 4 by \frac{100}{93} by multiplying 4 by the reciprocal of \frac{100}{93}.

$$\frac{102.3}{4\times \frac{93}{100}}$$

Express 4\times \frac{93}{100} as a single fraction.

$$\frac{102.3}{\frac{4\times 93}{100}}$$

Multiply 4 and 93 to get 372.

$$\frac{102.3}{\frac{372}{100}}$$

Reduce the fraction \frac{372}{100} to lowest terms by extracting and canceling out 4.

$$\frac{102.3}{\frac{93}{25}}$$

Divide 102.3 by \frac{93}{25} by multiplying 102.3 by the reciprocal of \frac{93}{25}.

$$102.3\times \frac{25}{93}$$

Convert decimal number 102.3 to fraction \frac{1023}{10}.

$$\frac{1023}{10}\times \frac{25}{93}$$

Multiply \frac{1023}{10} times \frac{25}{93} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1023\times 25}{10\times 93}$$

Do the multiplications in the fraction \frac{1023\times 25}{10\times 93}.

$$\frac{25575}{930}$$

Reduce the fraction \frac{25575}{930} to lowest terms by extracting and canceling out 465.

$$\frac{55}{2}$$

Factor

$$\frac{5 \cdot 11}{2} = 27\frac{1}{2} = 27.5$$