Question

8/15*(-1/2)-3/10:(-6/5)​

Answer 1

Ответ:

Пошаговое объяснение:

8/15 * (-1/2) - 3/10 : (-6/5)

8/15 * (-1/2) = - 4/15

3/10 : (-6/5) = 3/10 * (-5/6) = -1/4

-4/15 - (-1/4) = (-16+15) / 60 = - 1/60

Answer 2

To evaluate the expression, let's break it down step by step:

8/15 * (-1/2) - 3/10 : (-6/5)

First, let's simplify the division:

8/15 * (-1/2) - (3/10) * (-5/6)

Next, let's simplify the multiplication:

(-8/15) * (1/2) - (3/10) * (-5/6)

Now, let's multiply the fractions:

-8/30 - 15/60

To subtract these fractions, we need a common denominator, which is 60:

(-8/30) * (2/2) - (15/60)

-16/60 - 15/60

Now, we can subtract the fractions:

-31/60

Therefore, the expression 8/15 * (-1/2) - 3/10 : (-6/5) simplifies to -31/60.

Answer 3

To evaluate the expression, let's break it down step by step:

First, let's simplify the division: -3/10 : (-6/5)

Dividing by a fraction is the same as multiplying by its reciprocal, so we can rewrite it as: -3/10 * (-5/6)

Next, let's simplify the multiplication: (-3/10) * (-5/6)

When multiplying fractions, we multiply the numerators together and the denominators together: (-3 * -5) / (10 * 6)

This simplifies to: 15 / 60

Now, let's simplify the first part of the expression: 8/15 * (-1/2)

Multiplying fractions is done in the same way as we did before: (8 * -1) / (15 * 2)

This simplifies to: -8/30

Now, let's put both parts together: -8/30 - 15/60

To subtract fractions, we need a common denominator. In this case, the least common multiple of 30 and 60 is 60, so we need to convert both fractions to have a denominator of 60: (-8 * 2) / (30 * 2) - (15 * 1) / (60 * 1)

This simplifies to: -16/60 - 15/60

Now, we can combine the fractions: (-16 - 15) / 60

This simplifies to: -31/60

Therefore, the value of the expression 8/15*(-1/2)-3/10:(-6/5) is -31/60.