Solve 5/2:4/6+3/4=

$$\frac { 5 } { 2 } : \frac { 4 } { 6 } + \frac { 3 } { 4 } =$$

Evaluate

$$\frac{9}{2}=4.5$$

Solution Steps

Divide \frac{5}{2} by \frac{4}{6} by multiplying \frac{5}{2} by the reciprocal of \frac{4}{6}.

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

Cancel out 2 in both numerator and denominator.

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

Multiply 3 and 5 to get 15.

$$\frac{15}{4}+\frac{3}{4}$$

Since \frac{15}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

$$\frac{15+3}{4}$$

Add 15 and 3 to get 18.

$$\frac{18}{4}$$

Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.

$$\frac{9}{2}$$

Factor

$$\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5$$