Question

solve the equation. 2 1/3 x = 7 7/8 a 3 3/8 b 3 1/2 c 3 5/8 d 4 1/4

Answer 1

[AI-generated answer — Bot]

d 4 1/4

Answer 2

2 1/3 x = 7 7/8

(7/3) x = 63/8
x = (63/8)(3/7) = 27/8

the canned answer is incorrect

Answer 3

2 1/3 = 7/3

7 7/8 = 63/8

7/3x = 63/8
X = (63/8)(3/7)
X = 189/56 = 3 21/56 = 3 3/8
a) 3 3/8

Answer 4

[AI-generated answer — Explain Bot]

To solve the equation 2 1/3 x = 7 7/8, follow these steps:

Step 1: Convert the mixed numbers to improper fractions.
2 1/3 can be converted to an improper fraction as (2 * 3 + 1)/3 = 7/3.
Similarly, 7 7/8 can be converted to an improper fraction as (7 * 8 + 7)/8 = 63/8.

The equation now becomes: (7/3) x = (63/8)

Step 2: Multiply both sides of the equation by the reciprocal of the coefficient of x, which is 3/7.
Multiply both sides of the equation by (3/7) to isolate x. Remember, whatever you do to one side of the equation, you must do to the other side as well.

(3/7) * (7/3) x = (3/7) * (63/8)

Simplifying the left side: (3/7) * (7/3) x = (1 * 1)/1 x = x

On the right side: (3/7) * (63/8) = 189/56

Therefore, the equation simplifies to: x = 189/56

Step 3: Reduce the fraction to its simplest form.
To simplify the fraction 189/56, we find the greatest common divisor (GCD) of the numerator and denominator, which is 7.
Dividing both the numerator and denominator by 7 gives us the simplified fraction:

189 ÷ 7 / 56 ÷ 7
= 27/8

Hence, the solution to the equation is x = 27/8.