Solve 6-2.4div8/9

$$6 - 2.4 \div \frac { 8 } { 9 }$$

Evaluate

$$3.3$$

Solution Steps

Divide 2.4 by \frac{8}{9} by multiplying 2.4 by the reciprocal of \frac{8}{9}.

$$6-2.4\times \frac{9}{8}$$

Convert decimal number 2.4 to fraction \frac{24}{10}. Reduce the fraction \frac{24}{10} to lowest terms by extracting and canceling out 2.

$$6-\frac{12}{5}\times \frac{9}{8}$$

Multiply \frac{12}{5} times \frac{9}{8} by multiplying numerator times numerator and denominator times denominator.

$$6-\frac{12\times 9}{5\times 8}$$

Do the multiplications in the fraction \frac{12\times 9}{5\times 8}.

$$6-\frac{108}{40}$$

Reduce the fraction \frac{108}{40} to lowest terms by extracting and canceling out 4.

$$6-\frac{27}{10}$$

Convert 6 to fraction \frac{60}{10}.

$$\frac{60}{10}-\frac{27}{10}$$

Since \frac{60}{10} and \frac{27}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{60-27}{10}$$

Subtract 27 from 60 to get 33.

$$\frac{33}{10}$$

Factor

$$\frac{3 \cdot 11}{2 \cdot 5} = 3\frac{3}{10} = 3.3$$