Solve {l}{1/3*2/5=2/15}{1/2*6=frac{1}{12}}

$$\left. \begin{array} { l } { \frac { 1 } { 3 } \times \frac { 2 } { 5 } = \frac { 2 } { 15 } } \\ { \frac { 1 } { 2 } \times 6 = \frac { 1 } { 12 } } \end{array} \right.$$

Verify

Solution Steps

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

$$\frac{1\times 2}{3\times 5}=\frac{2}{15}\text{ and }\frac{1}{2}\times 6=\frac{1}{12}$$

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

$$\frac{2}{15}=\frac{2}{15}\text{ and }\frac{1}{2}\times 6=\frac{1}{12}$$

Compare \frac{2}{15} and \frac{2}{15}.

$$\text{true}\text{ and }\frac{1}{2}\times 6=\frac{1}{12}$$

Multiply \frac{1}{2} and 6 to get \frac{6}{2}.

$$\text{true}\text{ and }\frac{6}{2}=\frac{1}{12}$$

Divide 6 by 2 to get 3.

$$\text{true}\text{ and }3=\frac{1}{12}$$

Convert 3 to fraction \frac{36}{12}.

$$\text{true}\text{ and }\frac{36}{12}=\frac{1}{12}$$

Compare \frac{36}{12} and \frac{1}{12}.

$$\text{true}\text{ and }\text{false}$$

The conjunction of \text{true} and \text{false} is \text{false}.

$$\text{false}$$