Solve 4.5div(3/5-0.51)*12

$$4.5 \div ( \frac { 3 } { 5 } - 0.51 ) \times 12$$

Evaluate

$$600$$

Solution Steps

Convert decimal number 0.51 to fraction \frac{51}{100}.

$$\frac{4.5}{\frac{3}{5}-\frac{51}{100}}\times 12$$

Least common multiple of 5 and 100 is 100. Convert \frac{3}{5} and \frac{51}{100} to fractions with denominator 100.

$$\frac{4.5}{\frac{60}{100}-\frac{51}{100}}\times 12$$

Since \frac{60}{100} and \frac{51}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4.5}{\frac{60-51}{100}}\times 12$$

Subtract 51 from 60 to get 9.

$$\frac{4.5}{\frac{9}{100}}\times 12$$

Divide 4.5 by \frac{9}{100} by multiplying 4.5 by the reciprocal of \frac{9}{100}.

$$4.5\times \frac{100}{9}\times 12$$

Convert decimal number 4.5 to fraction \frac{45}{10}. Reduce the fraction \frac{45}{10} to lowest terms by extracting and canceling out 5.

$$\frac{9}{2}\times \frac{100}{9}\times 12$$

Multiply \frac{9}{2} times \frac{100}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 100}{2\times 9}\times 12$$

Cancel out 9 in both numerator and denominator.

$$\frac{100}{2}\times 12$$

Divide 100 by 2 to get 50.

$$50\times 12$$

Multiply 50 and 12 to get 600.

$$600$$

Factor

$$3\times 2^{3}\times 5^{2}$$