Solve 8/9*(5-1/4)

$$\frac{ 8 }{ 9 } \times (5- \frac{ 1 }{ 4 } )$$

Evaluate

$$\frac{38}{9}\approx 4.222222222$$

Solution Steps

Convert 5 to fraction \frac{20}{4}.

$$\frac{8}{9}\left(\frac{20}{4}-\frac{1}{4}\right)$$

Since \frac{20}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8}{9}\times \frac{20-1}{4}$$

Subtract 1 from 20 to get 19.

$$\frac{8}{9}\times \frac{19}{4}$$

Multiply \frac{8}{9} times \frac{19}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 19}{9\times 4}$$

Do the multiplications in the fraction \frac{8\times 19}{9\times 4}.

$$\frac{152}{36}$$

Reduce the fraction \frac{152}{36} to lowest terms by extracting and canceling out 4.

$$\frac{38}{9}$$

Factor

$$\frac{2 \cdot 19}{3 ^ {2}} = 4\frac{2}{9} = 4.222222222222222$$