Solve 4.7/3-frac{2{9}}

$$\frac { 4.7 } { 3 - \frac { 2 } { 9 } }$$

Evaluate

$$1.692$$

Solution Steps

Convert 3 to fraction \frac{27}{9}.

$$\frac{4.7}{\frac{27}{9}-\frac{2}{9}}$$

Since \frac{27}{9} and \frac{2}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4.7}{\frac{27-2}{9}}$$

Subtract 2 from 27 to get 25.

$$\frac{4.7}{\frac{25}{9}}$$

Divide 4.7 by \frac{25}{9} by multiplying 4.7 by the reciprocal of \frac{25}{9}.

$$4.7\times \frac{9}{25}$$

Convert decimal number 4.7 to fraction \frac{47}{10}.

$$\frac{47}{10}\times \frac{9}{25}$$

Multiply \frac{47}{10} times \frac{9}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{47\times 9}{10\times 25}$$

Do the multiplications in the fraction \frac{47\times 9}{10\times 25}.

$$\frac{423}{250}$$

Factor

$$\frac{47 \cdot 3 ^ {2}}{2 \cdot 5 ^ {3}} = 1\frac{173}{250} = 1.692$$