Solve 18.66div(99div9)-(33div11)=

$$18.66 \div ( 99 \div 9 ) - ( 33 \div 11 ) =$$

Evaluate

$$-\frac{717}{550}\approx -1.303636364$$

Solution Steps

Divide 18.66 by \frac{99}{9} by multiplying 18.66 by the reciprocal of \frac{99}{9}.

$$\frac{18.66\times 9}{99}-\frac{33}{11}$$

Multiply 18.66 and 9 to get 167.94.

$$\frac{167.94}{99}-\frac{33}{11}$$

Expand \frac{167.94}{99} by multiplying both numerator and the denominator by 100.

$$\frac{16794}{9900}-\frac{33}{11}$$

Reduce the fraction \frac{16794}{9900} to lowest terms by extracting and canceling out 18.

$$\frac{933}{550}-\frac{33}{11}$$

Divide 33 by 11 to get 3.

$$\frac{933}{550}-3$$

Convert 3 to fraction \frac{1650}{550}.

$$\frac{933}{550}-\frac{1650}{550}$$

Since \frac{933}{550} and \frac{1650}{550} have the same denominator, subtract them by subtracting their numerators.

$$\frac{933-1650}{550}$$

Subtract 1650 from 933 to get -717.

$$-\frac{717}{550}$$

Factor

$$-\frac{717}{550} = -1\frac{167}{550} = -1.3036363636363637$$