Question

(-5/8)×(-4/5)×(-3/4)×(-2/3)×(-1/2); (-7/12)×(-6/7)×(-5/6)×(-4/5)+2/3; (-11/15)×(-10/11)×(-9/10)+(-7/9)×(-6/7)+4/15

Answer 1

Ответ:

1) -1/8; 2) 1; 3) 1/3

Пошаговое объяснение:

Answer 2

Let's calculate each expression step by step:

1. Expression: (-5/8) × (-4/5) × (-3/4) × (-2/3) × (-1/2)

When you multiply any number by its reciprocal, the result is always 1. Therefore, all the negative fractions will cancel out:

(-5/8) × (-4/5) × (-3/4) × (-2/3) × (-1/2) = 1

2. Expression: (-7/12) × (-6/7) × (-5/6) × (-4/5) + 2/3

Again, the negative fractions will cancel out:

(-7/12) × (-6/7) × (-5/6) × (-4/5) = 1

So the expression simplifies to:

1 + 2/3 = 1 + 2/3 = 5/3

3. Expression: (-11/15) × (-10/11) × (-9/10) + (-7/9) × (-6/7) + 4/15

Once more, the negative fractions will cancel out:

(-11/15) × (-10/11) × (-9/10) = 1

(-7/9) × (-6/7) = 1

So the expression simplifies to:

1 + 1 + 4/15 = 2 + 4/15

To add these fractions, they need a common denominator, which is 15:

2 + 4/15 = 30/15 + 4/15 = 34/15

So, the final value of each expression is:

1. (-5/8) × (-4/5) × (-3/4) × (-2/3) × (-1/2) = 1
2. (-7/12) × (-6/7) × (-5/6) × (-4/5) + 2/3 = 5/3
3. (-11/15) × (-10/11) × (-9/10) + (-7/9) × (-6/7) + 4/15 = 34/15