Solve 8/9*(15/26:20/30)=

$$\frac { 8 } { 9 } \cdot ( \frac { 15 } { 26 } : \frac { 20 } { 30 } ) =$$

Evaluate

$$\frac{10}{13}\approx 0.769230769$$

Solution Steps

Divide \frac{15}{26} by \frac{20}{30} by multiplying \frac{15}{26} by the reciprocal of \frac{20}{30}.

$$\frac{8}{9}\times \frac{15\times 30}{26\times 20}$$

Cancel out 2\times 5 in both numerator and denominator.

$$\frac{8}{9}\times \frac{3\times 15}{4\times 13}$$

Multiply 3 and 15 to get 45.

$$\frac{8}{9}\times \frac{45}{4\times 13}$$

Multiply 4 and 13 to get 52.

$$\frac{8}{9}\times \frac{45}{52}$$

Multiply \frac{8}{9} times \frac{45}{52} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 45}{9\times 52}$$

Do the multiplications in the fraction \frac{8\times 45}{9\times 52}.

$$\frac{360}{468}$$

Reduce the fraction \frac{360}{468} to lowest terms by extracting and canceling out 36.

$$\frac{10}{13}$$

Factor

$$\frac{2 \cdot 5}{13} = 0.7692307692307693$$