Solve 3/4*1/6+7/4*1/2=

$$\frac { 3 } { 4 } \cdot \frac { 1 } { 6 } + \frac { 7 } { 4 } \cdot \frac { 1 } { 2 } =$$

Evaluate

$$1$$

Solution Steps

Multiply \frac{3}{4} times \frac{1}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 1}{4\times 6}+\frac{7}{4}\times \frac{1}{2}$$

Do the multiplications in the fraction \frac{3\times 1}{4\times 6}.

$$\frac{3}{24}+\frac{7}{4}\times \frac{1}{2}$$

Reduce the fraction \frac{3}{24} to lowest terms by extracting and canceling out 3.

$$\frac{1}{8}+\frac{7}{4}\times \frac{1}{2}$$

Multiply \frac{7}{4} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{8}+\frac{7\times 1}{4\times 2}$$

Do the multiplications in the fraction \frac{7\times 1}{4\times 2}.

$$\frac{1}{8}+\frac{7}{8}$$

Since \frac{1}{8} and \frac{7}{8} have the same denominator, add them by adding their numerators.

$$\frac{1+7}{8}$$

Add 1 and 7 to get 8.

$$\frac{8}{8}$$

Divide 8 by 8 to get 1.

$$1$$

Factor

$$1$$