Solve [1/18-1/80*(4.5-3.3)]div[83.48-1.24*0.7]

$$[ \frac { 1 } { 18 } - \frac { 1 } { 80 } \times ( 4.5 - 3.3 ) ] \div [ 83.48 - 1.24 \times 0.7 ]$$

Evaluate

$$\frac{365}{743508}\approx 0.000490916$$

Solution Steps

Subtract 3.3 from 4.5 to get 1.2.

$$\frac{\frac{1}{18}-\frac{1}{80}\times 1.2}{83.48-1.24\times 0.7}$$

Convert decimal number 1.2 to fraction \frac{12}{10}. Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{1}{18}-\frac{1}{80}\times \frac{6}{5}}{83.48-1.24\times 0.7}$$

Multiply \frac{1}{80} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1}{18}-\frac{1\times 6}{80\times 5}}{83.48-1.24\times 0.7}$$

Do the multiplications in the fraction \frac{1\times 6}{80\times 5}.

$$\frac{\frac{1}{18}-\frac{6}{400}}{83.48-1.24\times 0.7}$$

Reduce the fraction \frac{6}{400} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{1}{18}-\frac{3}{200}}{83.48-1.24\times 0.7}$$

Least common multiple of 18 and 200 is 1800. Convert \frac{1}{18} and \frac{3}{200} to fractions with denominator 1800.

$$\frac{\frac{100}{1800}-\frac{27}{1800}}{83.48-1.24\times 0.7}$$

Since \frac{100}{1800} and \frac{27}{1800} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{100-27}{1800}}{83.48-1.24\times 0.7}$$

Subtract 27 from 100 to get 73.

$$\frac{\frac{73}{1800}}{83.48-1.24\times 0.7}$$

Multiply 1.24 and 0.7 to get 0.868.

$$\frac{\frac{73}{1800}}{83.48-0.868}$$

Subtract 0.868 from 83.48 to get 82.612.

$$\frac{\frac{73}{1800}}{82.612}$$

Express \frac{\frac{73}{1800}}{82.612} as a single fraction.

$$\frac{73}{1800\times 82.612}$$

Multiply 1800 and 82.612 to get 148701.6.

$$\frac{73}{148701.6}$$

Expand \frac{73}{148701.6} by multiplying both numerator and the denominator by 10.

$$\frac{730}{1487016}$$

Reduce the fraction \frac{730}{1487016} to lowest terms by extracting and canceling out 2.

$$\frac{365}{743508}$$

Factor

$$\frac{5 \cdot 73}{19 \cdot 1087 \cdot 2 ^ {2} \cdot 3 ^ {2}} = 0.0004909160358731849$$