Solve 1/45/6+25/4*1/6

$$\frac{ 1 }{ 4 } \frac{ 5 }{ 6 } + \frac{ 25 }{ 4 } \times \frac{ 1 }{ 6 }$$

Evaluate

$$\frac{5}{4}=1.25$$

Solution Steps

Multiply \frac{1}{4} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 5}{4\times 6}+\frac{25}{4}\times \frac{1}{6}$$

Do the multiplications in the fraction \frac{1\times 5}{4\times 6}.

$$\frac{5}{24}+\frac{25}{4}\times \frac{1}{6}$$

Multiply \frac{25}{4} times \frac{1}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{24}+\frac{25\times 1}{4\times 6}$$

Do the multiplications in the fraction \frac{25\times 1}{4\times 6}.

$$\frac{5}{24}+\frac{25}{24}$$

Since \frac{5}{24} and \frac{25}{24} have the same denominator, add them by adding their numerators.

$$\frac{5+25}{24}$$

Add 5 and 25 to get 30.

$$\frac{30}{24}$$

Reduce the fraction \frac{30}{24} to lowest terms by extracting and canceling out 6.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$