Solve 4.775-(1/3)

$$4.775 - ( \frac { 1 } { 3 } )$$

Evaluate

$$\frac{533}{120}\approx 4.441666667$$

Solution Steps

Convert decimal number 4.775 to fraction \frac{4775}{1000}. Reduce the fraction \frac{4775}{1000} to lowest terms by extracting and canceling out 25.

$$\frac{191}{40}-\frac{1}{3}$$

Least common multiple of 40 and 3 is 120. Convert \frac{191}{40} and \frac{1}{3} to fractions with denominator 120.

$$\frac{573}{120}-\frac{40}{120}$$

Since \frac{573}{120} and \frac{40}{120} have the same denominator, subtract them by subtracting their numerators.

$$\frac{573-40}{120}$$

Subtract 40 from 573 to get 533.

$$\frac{533}{120}$$

Factor

$$\frac{13 \cdot 41}{3 \cdot 5 \cdot 2 ^ {3}} = 4\frac{53}{120} = 4.441666666666666$$