Question

A) 1 5\6 *6 б) 4*( 2 1/4 - 1 7/8)

Answer 1

А)  $1 \frac{5}{6} *6= \frac{11}{6} * \frac{6}{1} = \frac{11}{1} =11$

Answer 2

1 5/6*6=11/6*6/1=11
4*(2 1/4-1 7/8)=9/4-15/8=3/8
4*3/8=1 1/2

Answer 3

Let's solve each part of the expression step by step:

A) $1 \frac{5}{6} \times 6$

To multiply a whole number with a fraction, you can convert the whole number into a fraction and then multiply the fractions. In this case, $1 \frac{5}{6}$ can be written as $\frac{6}{6} + \frac{5}{6} = \frac{11}{6}$. Now, multiply $\frac{11}{6}$ by 6:

$$\frac{11}{6} \times 6 = 11$$

So, the result of $1 \frac{5}{6} \times 6$ is 11.

B) $4 \times \left(2 \frac{1}{4} - 1 \frac{7}{8}\right)$

First, subtract the fractions inside the parentheses:

$2 \frac{1}{4} - 1 \frac{7}{8}$

To subtract these fractions, find a common denominator, which in this case is 8. Convert $2 \frac{1}{4}$ to an improper fraction:

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

Now, convert $1 \frac{7}{8}$ to an improper fraction:

$1 \frac{7}{8} = \frac{15}{8}$

Subtract:

$\frac{9}{4} - \frac{15}{8}$

To subtract fractions, you need a common denominator, which is 8 in this case. Multiply the fractions to make their denominators 8:

$\frac{9 \times 2}{4 \times 2} - \frac{15}{8} = \frac{18}{8} - \frac{15}{8}$

Now subtract the numerators:

$\frac{18 - 15}{8} = \frac{3}{8}$

So, $2 \frac{1}{4} - 1 \frac{7}{8} = \frac{3}{8}$.

Now, multiply by 4:

$4 \times \frac{3}{8} = \frac{12}{8} = 1 \frac{1}{2}$

So, the result of $4 \times \left(2 \frac{1}{4} - 1 \frac{7}{8}\right)$ is $1 \frac{1}{2}$.