Question

|-1/24|:(-7/12)+(-5/28):(-2 1/2)​

Answer 1

Ответ:

0

Объяснение:

1) |-1/24| : (-7/12) = 1/24 * (-12/7) = 1/2 * (-1/7) = -1/14

2) -5/28 : (-2 1/2) = -5/28 : (-5/2) = -5/28 * (-2/5) = -1/14 * (-1/1) = 1/14

3) -1/14 + 1/14 = 0

Answer 2

To simplify the expression:

|-1/24| : (-7/12) + (-5/28) : (-2 1/2)

First, let's convert the mixed number (-2 1/2) into an improper fraction: -2 1/2 = -5/2

Now, the expression becomes:

|-1/24| : (-7/12) + (-5/28) : (-5/2)

Next, let's simplify each part step by step:

1. |-1/24| = 1/24 (since the absolute value of -1/24 is 1/24).

2. (-7/12) + (-5/28) = (-7/12) - (5/28) (we change the addition to subtraction for convenience).

Now, find a common denominator for 12 and 28, which is 84:

(-7/12) - (5/28) = (-49/84) - (15/84)

Now, subtract the fractions:

(-49/84) - (15/84) = -64/84

Reduce the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4:

(-64/84) ÷ 4/4 = (-16/21)

3. Now, we have:

1/24 : (-16/21) : (-5/2)

To divide by a fraction, you can multiply by its reciprocal:

1/24 * (-21/16) * (-2/5)

Now, multiply the fractions:

(1 * -21 * -2) / (24 * 16 * 5)

This simplifies to:

(42/1920)

Now, reduce the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 6:

(42/1920) ÷ 6/6 = (7/320)

So, the simplified result of the expression is 7/320.