Solve 1/2*5/3div6/3*5/4

$$\frac { 1 } { 2 } \times \frac { 5 } { 3 } \div \frac { 6 } { 3 } \times \frac { 5 } { 4 }$$

Evaluate

$$\frac{25}{48}\approx 0.520833333$$

Solution Steps

Multiply \frac{1}{2} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\times 5}{2\times 3}}{\frac{6}{3}}\times \frac{5}{4}$$

Do the multiplications in the fraction \frac{1\times 5}{2\times 3}.

$$\frac{\frac{5}{6}}{\frac{6}{3}}\times \frac{5}{4}$$

Divide 6 by 3 to get 2.

$$\frac{\frac{5}{6}}{2}\times \frac{5}{4}$$

Express \frac{\frac{5}{6}}{2} as a single fraction.

$$\frac{5}{6\times 2}\times \frac{5}{4}$$

Multiply 6 and 2 to get 12.

$$\frac{5}{12}\times \frac{5}{4}$$

Multiply \frac{5}{12} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 5}{12\times 4}$$

Do the multiplications in the fraction \frac{5\times 5}{12\times 4}.

$$\frac{25}{48}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {4} \cdot 3} = 0.5208333333333334$$