Question

X÷(-16)=-3 3/4÷6 2/3

Answer 1

X : (–16)= – 3 ¾ : 6 ⅔;

Х : (–16)= – 15/4 : 20/3;

Х : (–16)= – 15/4 • 3/20; — 15 и 20 сокращаем, деля на 5.

Х : (–16)= – ¾ • ¾;

Х : (–16)= – 9/16;

Х= (–9/16)•(–16); — 16 и 16 сокращаются, минус на минус даёт плюс, Х равен положительному числу;

Х= 9.

ОТВЕТ: 9.

Answer 2

To solve the expression "X÷(-16)=-3 3/4÷6 2/3," we need to perform the division on both sides of the equation separately.

Step 1: Simplify the right side of the equation

-3 3/4 ÷ 6 2/3

To perform this division, we need to convert both mixed fractions into improper fractions: -3 3/4 = -15/4 6 2/3 = 20/3

Now, we can rewrite the division as a multiplication with the reciprocal of the divisor: -15/4 ÷ 20/3 = -15/4 * 3/20

Step 2: Perform the division on the right side of the equation:

-15/4 * 3/20 = -45/80 = -9/16

So, the equation becomes: X/(-16) = -9/16

Step 3: Solve for X:

To solve for X, we need to isolate it on one side of the equation. Since X is divided by -16, we can multiply both sides by -16 to cancel out the division:

X = (-9/16) * (-16)

The -16 on the right side cancels out with the -16 in the denominator, leaving us with:

X = 9

Therefore, the value of X is 9.