Solve 1-32/81-4/27

$$1- \frac{ 32 }{ 81 } - \frac{ 4 }{ 27 }$$

Evaluate

$$\frac{37}{81}\approx 0.456790123$$

Solution Steps

Convert 1 to fraction \frac{81}{81}.

$$\frac{81}{81}-\frac{32}{81}-\frac{4}{27}$$

Since \frac{81}{81} and \frac{32}{81} have the same denominator, subtract them by subtracting their numerators.

$$\frac{81-32}{81}-\frac{4}{27}$$

Subtract 32 from 81 to get 49.

$$\frac{49}{81}-\frac{4}{27}$$

Least common multiple of 81 and 27 is 81. Convert \frac{49}{81} and \frac{4}{27} to fractions with denominator 81.

$$\frac{49}{81}-\frac{12}{81}$$

Since \frac{49}{81} and \frac{12}{81} have the same denominator, subtract them by subtracting their numerators.

$$\frac{49-12}{81}$$

Subtract 12 from 49 to get 37.

$$\frac{37}{81}$$

Factor

$$\frac{37}{3 ^ {4}} = 0.4567901234567901$$