Question

(2 2/3-2 2/9) × (2-1 1/2) =​

Answer 1

Ответ:

(8/3-2 2/9)*(2-1 1/2)

(8/3-20/9)*(2-3/2)

4/9*(2-3/2)

4/9*1/2 (сокращение)

2/9

Answer 2

To solve this expression, let's break it down step by step:

1. Subtract the mixed numbers inside the parentheses:

   $2 \frac{2}{3} - 2 \frac{2}{9}$

   Convert the mixed numbers to improper fractions:

   $= \frac{8}{3} - \frac{20}{9}$

   Find a common denominator, which is 9:

   $= \frac{24}{9} - \frac{20}{9}$

   Subtract the fractions:

   $= \frac{4}{9}$

2. Next, subtract the second mixed number inside the parentheses:

   $2 - 1 \frac{1}{2}$

   Convert the mixed number to an improper fraction:

   $= 2 - \frac{3}{2}$

   Find a common denominator, which is 2:

   $= \frac{4}{2} - \frac{3}{2}$

   Subtract the fractions:

   $= \frac{1}{2}$

3. Now, multiply the results from step 1 and step 2:

   $\frac{4}{9} \times \frac{1}{2}$

   Multiply the numerators and denominators:

   $= \frac{4 \times 1}{9 \times 2}$

   Simplify the fraction:

   $= \frac{4}{18}$

   Reduce the fraction to its simplest form:

   $= \frac{2}{9}$

So, $(2 \frac{2}{3} - 2 \frac{2}{9}) \times (2 - 1 \frac{1}{2}) = \frac{2}{9}$.