Question

3 3/10 ÷ (1/4 × X + 5/12) - 2 3/5 = 7/10

Answer 1

Відповідь:

X = 2 1/3

Покрокове пояснення:

3 3/10 ÷ (1/4 × X + 5/12) - 2 3/5 = 7/10

3 3/10 ÷ (1/4 × X + 5/12) = 7/10 + 2 6/10

3 3/10 ÷ (1/4 × X + 5/12) = 3  3/10

1/4X + 5/12 = 3 3/10 ÷ 3 3/10

1/4X + 5/12 = 1

1/4X = 12/12 - 5/12

1/4X = 7/12

X = 7/12 : 1/4

X = 2 1/3

Answer 2

To solve the equation, you'll need to find the value of X:

3 3/10 ÷ (1/4 × X + 5/12) - 2 3/5 = 7/10

First, simplify the equation step by step:

1. Convert the mixed numbers to improper fractions:
   • 3 3/10 = (10 * 3 + 3)/10 = 33/10
   • 2 3/5 = (5 * 2 + 3)/5 = 13/5

So, the equation becomes:

33/10 ÷ (1/4 × X + 5/12) - 13/5 = 7/10

2. To make it easier to work with, let's get rid of the fractions by finding a common denominator. In this case, the common denominator is 60:

(33/10) * (6/6) ÷ [(1/4) * (X) + (5/12) * (5)] - (13/5) * (12/12) = (7/10) * (6/6)

This simplifies to:

(198/60) ÷ [(15/60) * X + 25/60] - (156/60) = (42/60)

3. Now, continue simplifying:

(198/60) ÷ (15/60 * X + 25/60) - (156/60) = (42/60)

4. Remove the common denominator:

(198/60) ÷ (15X/60 + 25/60) - (156/60) = (42/60)

5. Now, multiply both sides of the equation by 60 to get rid of the denominators:

198 - 15X - 25 - 156 = 42

6. Combine like terms:

198 - 25 - 156 - 15X = 42

7. Subtract the numbers on the left side of the equation:

198 - 25 - 156 = 17

17 - 15X = 42

8. Isolate the variable term on the right side:

-15X = 42 - 17

-15X = 25

9. Divide both sides by -15 to solve for X:

X = 25 / -15

X = -5/3

So, the value of X that satisfies the equation is X = -5/3.