Find the product. $$ \frac{1}{5} imes\left(\frac{11}{12}-\frac{1}{2} ight) $$ $$ \frac{1}{5} imes\left(\frac{11}{12}-\frac{1}{2} ight)=\square $$ (Type a whole number or a fraction.)

Question

Find the product. $$ \frac{1}{5} 	imes\left(\frac{11}{12}-\frac{1}{2}ight) $$ $$ \frac{1}{5} 	imes\left(\frac{11}{12}-\frac{1}{2}ight)=\square $$ (Type a whole number or a fraction.)

UpStudy AI · Accepted Answer

To find the product $$ \frac{1}{5} \times \left( \frac{11}{12} - \frac{1}{2} \right) $$, follow these steps:

1. **Subtract the Fractions Inside the Parentheses:**

$$
   \frac{11}{12} - \frac{1}{2}
   $$
   
   To subtract these fractions, find a common denominator. The least common denominator (LCD) for 12 and 2 is 12.

Convert $$\frac{1}{2}$$ to twelfths:
   
   $$
   \frac{1}{2} = \frac{6}{12}
   $$
   
   Now subtract:
   
   $$
   \frac{11}{12} - \frac{6}{12} = \frac{5}{12}
   $$

2. **Multiply the Result by $$ \frac{1}{5} $$:**

$$
   \frac{1}{5} \times \frac{5}{12} = \frac{1 \times 5}{5 \times 12} = \frac{5}{60}
   $$
   
   Simplify the fraction by dividing both the numerator and the denominator by 5:
   
   $$
   \frac{5}{60} = \frac{1}{12}
   $$

So, the product is:

$$
\frac{1}{12}
$$

**Answer:** $$\boxed{\dfrac{1}{12}}$$
The product is $$\frac{1}{12}$$.

Find the product. \( \frac{1}{5} \times\left(\frac{11}{12}-\frac{1}{2}\right) \) \( \frac{1}{5} \times\left(\frac{11}{12}-\frac{1}{2}\right)=\square \) (Type a whole number or a fraction.)

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