Question

А)(6-2 1/10•2 1/7)•4/15 б)(2 2/3 -2 2/9)•(2-1 1/2) подробно решите пж

Answer 1

Решение к выражениям внизу

Answer 2

Solution:

Let's solve the given expressions step by step:

a) (6-2+1/10•2+1/7)•4/15

First, let's simplify the expression inside the parentheses:

6 - 2 + 1/10 • 2 + 1/7

= 4 + 1/10 • 2 + 1/7

= 4 + 1/5 + 1/7

Next, let's simplify the expression inside the parentheses further:

4 + 1/5 + 1/7

To add fractions, we need a common denominator. The least common multiple of 5 and 7 is 35. So, let's convert the fractions to have a denominator of 35:

= 4/1 • 7/7 + 1/5 • 7/7 + 1/7 • 5/5

= 28/35 + 7/35 + 5/35

Now, we can add the fractions:

= (28 + 7 + 5)/35

= 40/35

= 8/7

Finally, let's multiply the result by 4/15:

(8/7) • (4/15)

To multiply fractions, we simply multiply the numerators and denominators:

= (8 • 4)/(7 • 15)

= 32/105

Therefore, the value of a) (6-2+1/10•2+1/7)•4/15 is 32/105.

b) (2+2/3+-2+2/9)•(2-1+1/2)

First, let's simplify the expression inside the parentheses:

2 + 2/3 + (-2) + 2/9

= 2 + 2/3 - 2 + 2/9

Next, let's simplify the expression inside the parentheses further:

2 + 2/3 - 2 + 2/9

To add and subtract fractions, we need a common denominator. The least common multiple of 3 and 9 is 9. So, let's convert the fractions to have a denominator of 9:

= 2/1 • 3/3 + 2/3 • 3/3 - 2/1 • 9/9 + 2/9 • 1/1

= 6/9 + 6/9 - 18/9 + 2/9

Now, we can add and subtract the fractions:

= (6 + 6 - 18 + 2)/9

= -4/9

Finally, let's multiply the result by the expression outside the parentheses:

(-4/9) • (2 - 1 + 1/2)

= (-4/9) • (2/1 - 1/1 + 1/2)

= (-4/9) • (2/1 - 1/1 + 1/2)

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