Question

(4/5 - 8/15) *5/12 хелп​

Answer 1

Ответ:

1/9

Пошаговое объяснение:

1) 4/5-8/15=12/15-8/15=4/15

2) 4/15*5/12= 1/9

Answer 2

To simplify the expression (4/5 - 8/15) * (5/12), you can follow these steps:

Step 1: Find a common denominator for the fractions in the expression.

The common denominator for 5 and 15 is 15. So, you can rewrite 4/5 as (4/5) * (3/3) to have a common denominator of 15:

(4/5) * (3/3) - (8/15) * (3/3) = (12/15) - (24/15)

Step 2: Subtract the fractions with the same denominator:

(12/15) - (24/15) = (12 - 24)/15 = -12/15

Step 3: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3:

-12/15 = (-12 ÷ 3)/(15 ÷ 3) = -4/5

Now that you've simplified the expression, you can proceed to multiply the result by (5/12):

(-4/5) * (5/12)

Step 4: Multiply the fractions:

(-4/5) * (5/12) = (-4 * 5)/(5 * 12) = -20/60

Step 5: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 20:

(-20/60) = (-20 ÷ 20)/(60 ÷ 20) = -1/3

So, the result of the expression (4/5 - 8/15) * (5/12) is -1/3.