Question

1 1/2× 1 1/3 × 1 1/4 × 1 1/5 × 1 1/6 - 1/2 =?

Answer 1

$1 \frac{1}{2} \times 1 \frac{1}{3} = \frac{3}{2} \times \frac{4}{ 3} = 2 \times 1 \frac{1}{4} = \\ 2 \times \frac{5}{4} = \frac{5}{2}$
$\frac{5}{2} \times 1 \frac{1}{5} = \frac{5}{2} \times \frac{6}{5} = 3$
[tex]3 \times \frac{7}{6} = \frac{7}{2} \\ \frac{7}{2} - \frac{1}{2} = 6/2=3
Ответ:
3

Answer 2

To solve the expression $1\frac{1}{2} \times 1\frac{1}{3} \times 1\frac{1}{4} \times 1\frac{1}{5} \times 1\frac{1}{6} - \frac{1}{2}$, you can follow these steps:

1. Convert all mixed numbers to improper fractions.
2. Multiply all the fractions.
3. Subtract $\frac{1}{2}$.

Let's break it down:

$1\frac{1}{2} = \frac{3}{2}$ $1\frac{1}{3} = \frac{4}{3}$ $1\frac{1}{4} = \frac{5}{4}$ $1\frac{1}{5} = \frac{6}{5}$ $1\frac{1}{6} = \frac{7}{6}$

Now, multiply these fractions:

$\frac{3}{2} \times \frac{4}{3} \times \frac{5}{4} \times \frac{6}{5} \times \frac{7}{6} - \frac{1}{2}$

Simplify the fractions where possible, and then multiply:

$\frac{3 \times 4 \times 5 \times 6 \times 7}{2 \times 3 \times 4 \times 5 \times 6} - \frac{1}{2}$

Cancel out common factors:

$\frac{7}{2} - \frac{1}{2}$

Subtract the fractions:

$\frac{7 - 1}{2} = \frac{6}{2} = 3$

Therefore, $1\frac{1}{2} \times 1\frac{1}{3} \times 1\frac{1}{4} \times 1\frac{1}{5} \times 1\frac{1}{6} - \frac{1}{2} = 3$.