Question

1) 2 3/8*6 2) 1 3/4*2 3) 3*2 1/9 4) 8*3 1/2

Answer 1

Переводим смешанные дроби в неправильные:

1) $\frac{19}{8} * \frac{6}{1} = \frac{57}{4} = 14,25$

2) $\frac{7}{4} * \frac{2}{1} = \frac{7}{2} = 3,5$

3) $\frac{3}{1} * \frac{19}{9} = \frac{19}{3} = 6,3(3)$

4) $\frac{8}{1} * \frac{7}{2} = 28$

Answer 2

To calculate the given expressions, follow these steps:

1. 2 3/8 * 6

To multiply a mixed number by a whole number, convert the mixed number to an improper fraction first:

2 3/8 = (2 * 8 + 3) / 8 = 19/8

Now, multiply the improper fraction by 6:

(19/8) * 6 = (19 * 6) / 8 = 114/8 = 14 2/8 = 14 1/4

So, 2 3/8 * 6 = 14 1/4

2. 1 3/4 * 2

Convert the mixed number to an improper fraction:

1 3/4 = (1 * 4 + 3) / 4 = 7/4

Now, multiply the improper fraction by 2:

(7/4) * 2 = 7/2 = 3 1/2

So, 1 3/4 * 2 = 3 1/2

3. 3 * 2 1/9

To multiply a whole number by a mixed number, convert the mixed number to an improper fraction:

2 1/9 = (2 * 9 + 1) / 9 = 19/9

Now, multiply the whole number by the improper fraction:

3 * (19/9) = (3 * 19) / 9 = 57/9 = 6 3/9 = 6 1/3

So, 3 * 2 1/9 = 6 1/3

4. 8 * 3 1/2

Convert the mixed number to an improper fraction:

3 1/2 = (3 * 2 + 1) / 2 = 7/2

Now, multiply the whole number by the improper fraction:

8 * (7/2) = (8 * 7) / 2 = 56/2 = 28

So, 8 * 3 1/2 = 28