Question

1/2*2/3*3/4-2/3*3/4*4/5-3/4*4/5*5/6​

Answer 1

Пошаговое объяснение:

$\frac{1}{2} *\frac{2}{3}*\frac{3}{4} - \frac{2}{3} *\frac{3}{4}*\frac{4}{5} - \frac{3}{4} *\frac{4}{5} *\frac{5}{6} =$

1) $\frac{1}{2}*\frac{2}{3}*\frac{3}{4}= \frac{1}{4}$

2) $\frac{2}{3} *\frac{3}{4} *\frac{4}{5}=\frac{2}{5}$

3) $\frac{3}{4} *\frac{4}{5} *\frac{5}{6}=\frac{3}{6}=\frac{1}{2}$

4) $\frac{1}{4} -\frac{2}{5} -\frac{1}{2}= \frac{5-2*4-10}{20}= \frac{5-8-10}{20}=-\frac{13}{20}$

Answer 2

Ответ:

Пошаговое объяснение:

Answer 3

To solve this expression, follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division, and Addition and Subtraction. In this case, we only have multiplication and division, so we'll evaluate from left to right:

1/2 * 2/3 * 3/4 - 2/3 * 3/4 * 4/5 - 3/4 * 4/5 * 5/6

Step 1: Evaluate the multiplications and divisions from left to right: (1/2 * 2/3 * 3/4) = (1/3) (2/3 * 3/4 * 4/5) = (2/5) (3/4 * 4/5 * 5/6) = (1/2)

Now the expression becomes: 1/3 - 2/5 - 1/2

Step 2: Find the common denominator, which is 30: (10/30) - (12/30) - (15/30)

Step 3: Subtract the fractions: (10 - 12 - 15) / 30 = (-17) / 30

The simplified answer is -17/30.