Question

0,24:2 2/3=(x-0,06):1 7/9

Answer 1

$0,24:2\frac{2}{3}=(x-0,06):1\frac{7}{9}\\\\0,24:\frac{8}{3}=(x-0,06):\frac{16}{9}\\\\0,24\cdot \frac{3}{8}=(x-0,06)\cdot \frac{9}{16}\\\\0,09=(x-0,06)\cdot \frac{9}{16}\\\\x-0,06=\frac{0,09\cdot 16}{9}\\\\x-0,06=0,16\\\\x=0,16+0,06\\\\x=0,22$

Answer 2

To solve the equation, we need to follow the order of operations (PEMDAS/BODMAS) and simplify the expression step by step. Let's break down the equation and solve for the variable x.

1. First, let's simplify the expression on the left side of the equation: 0.24 ÷ 2 = 0.12 (division of 0.24 by 2) 2/3 = 0.6667 (approximately, in decimal form)

   So, the left side becomes: 0.12 + 0.6667 = 0.7867

2. Now, let's simplify the expression on the right side of the equation: Convert the mixed number 1 7/9 to a decimal: 1 + 7/9 = (9 + 7)/9 = 16/9 ≈ 1.7778 (approximately, in decimal form)

   Next, calculate (x - 0.06): (x - 0.06)

3. Finally, set up the equation with the simplified expressions: 0.7867 = (x - 0.06) ÷ 1.7778

Now, let's solve for x:

0.7867 = (x - 0.06) ÷ 1.7778

To eliminate the division on the right side, we can multiply both sides by 1.7778:

0.7867 * 1.7778 = x - 0.06

1.3983 ≈ x - 0.06

Add 0.06 to both sides to isolate x:

x = 1.3983 + 0.06

x ≈ 1.4583

So, the value of x that satisfies the equation is approximately 1.4583.