Question

1)-6*(2/3а-1/5)+4*(3/4а-1/12)2)5*(2/5x-0,7)-3*(1/3x-0,2)​

Answer 1

Відповідь:

1)  13/15 - a

2)x - 2,9

Покрокове пояснення:

1)-6*(2/3а-1/5)+4*(3/4а-1/12) = -4a + 6/5 + 3a - 1/3 = 18/15 - 5/15 - a = 13/15 - a

2)5*(2/5x-0,7)-3*(1/3x-0,2) = 2x - 3,5 - x + 0,6 = x - 2,9

Answer 2

To simplify these expressions, you can start by simplifying the fractions and then perform the multiplication and subtraction. Here are the simplified versions of the given expressions:

1. -6*(2/3a - 1/5) + 4*(3/4a - 1/12)

First, simplify the fractions within the parentheses:

-6*(2/3a - 1/5) + 4*(3/4a - 1/12)

= -6*(2/3a - 1/5) + 4*(3/4a - 1/12)

Now, find a common denominator for each set of fractions and subtract:

= -6*((10/15a) - (3/15)) + 4*((9/12a) - (1/12))

Now, distribute the constants and simplify the fractions further:

= (-20/15a + 18/15) + (36/12a - 1/12)

Now, find a common denominator for each set of fractions:

= (-4/3a + 6/5) + (3/2a - 1/12)

Now, combine like terms by adding or subtracting fractions with the same denominator:

= (-4/3a + 3/2a) + (6/5 - 1/12)

= (-8/6a + 9/6a) + (72/60 - 5/60)

= (1/6a) + (67/60)

2. 5*(2/5x - 0.7) - 3*(1/3x - 0.2)

First, simplify the fractions within the parentheses:

5*(2/5x - 0.7) - 3*(1/3x - 0.2)

= 5*(2/5x - 0.7) - 3*(1/3x - 0.2)

Now, distribute the constants and simplify the fractions further:

= (2x - 3.5) - (x - 0.6)

Now, combine like terms by adding or subtracting:

= 2x - 3.5 - x + 0.6

= (2x - x) - (3.5 - 0.6)

= x - 2.9

So, the simplified expressions are:

1. -6/3a + 67/60

2. x - 2.9