Question

15/16(5 1/3x-4/15y)-7/23(3 2/7x-2 4/21y)​

Answer 1

Ответ:

Пошаговое объяснение:

=15/16(16/3х-4/15у)-7/23(23/7х-46/21у)=

5х-1/4у-х+2/3у=4х-3/12у+8/12у=4х+5/12у

Answer 2

To simplify the expression, you'll need to follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right). Let's break it down step by step:

Given expression: 15/16(5 1/3x - 4/15y) - 7/23(3 2/7x - 2 4/21y)

Step 1: Deal with the fractions inside the parentheses.

5 1/3x - 4/15y can be rewritten as (16/3)x - (4/15)y 3 2/7x - 2 4/21y can be rewritten as (23/7)x - (46/21)y

So, the expression becomes: 15/16((16/3)x - (4/15)y) - 7/23((23/7)x - (46/21)y)

Step 2: Distribute the fractions.

(15/16) * ((16/3)x - (4/15)y) = ((15/16) * (16/3))x - ((15/16) * (4/15))y (7/23) * ((23/7)x - (46/21)y) = ((7/23) * (23/7))x - ((7/23) * (46/21))y

Now, simplify the fractions within each term:

(15/16) * ((16/3)x - (4/15)y) = (1/3)x - (1/4)y (7/23) * ((23/7)x - (46/21)y) = x - (2/3)y

Step 3: Subtract the second expression from the first expression:

(1/3)x - (1/4)y - (x - (2/3)y)

Now, subtract the terms:

(1/3)x - (1/4)y - x + (2/3)y

Step 4: Combine like terms:

x - (1/3)x - x + (1/4)y + (2/3)y

Combine the x terms:

• (1/3)x - x - x

Combine the y terms:

(1/4)y + (2/3)y

Now, simplify further:

• (1/3)x - 2x + (1/4)y + (2/3)y

Combine the x and y terms:

• (1/3)x - 2x + (1/4)y + (2/3)y

Now, you have simplified the expression as much as possible:

• (1/3)x - 2x + (1/4)y + (2/3)y

So, the simplified expression is:

• (1/3)x - 2x + (1/4)y + (2/3)y