Solve 6/12*2/4+5/2*19

$$\frac { 6 } { 12 } \times \frac { 2 } { 4 } + \frac { 5 } { 2 } \times 19$$

Evaluate

$$\frac{191}{4}=47.75$$

Solution Steps

Reduce the fraction \frac{6}{12} to lowest terms by extracting and canceling out 6.

$$\frac{1}{2}\times \frac{2}{4}+\frac{5}{2}\times 19$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}\times \frac{1}{2}+\frac{5}{2}\times 19$$

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

$$\frac{1\times 1}{2\times 2}+\frac{5}{2}\times 19$$

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

$$\frac{1}{4}+\frac{5}{2}\times 19$$

Express \frac{5}{2}\times 19 as a single fraction.

$$\frac{1}{4}+\frac{5\times 19}{2}$$

Multiply 5 and 19 to get 95.

$$\frac{1}{4}+\frac{95}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{1}{4} and \frac{95}{2} to fractions with denominator 4.

$$\frac{1}{4}+\frac{190}{4}$$

Since \frac{1}{4} and \frac{190}{4} have the same denominator, add them by adding their numerators.

$$\frac{1+190}{4}$$

Add 1 and 190 to get 191.

$$\frac{191}{4}$$

Factor

$$\frac{191}{2 ^ {2}} = 47\frac{3}{4} = 47.75$$