Question

7 14/16 - ( x - 3 4/16 ) = 4 2/16

Answer 1

Ответ:

х буде дорівнювати: х=7

Answer 2

To solve the equation 7 14/16 - (x - 3 4/16) = 4 2/16, you can follow these steps:

Step 1: Simplify the fractions:

• 7 14/16 can be simplified to 7 7/8 because 14/16 reduces to 7/8.
• 3 4/16 can be simplified to 3 1/4 because 4/16 reduces to 1/4.
• 4 2/16 can be simplified to 4 1/8 because 2/16 reduces to 1/8.

Now, rewrite the equation with these simplified fractions:

7 7/8 - (x - 3 1/4) = 4 1/8

Step 2: Simplify the expressions inside the parentheses: (x - 3 1/4) can be simplified by distributing the negative sign:

x - 3 1/4

Step 3: Subtract 3 1/4 from 7 7/8:

7 7/8 - 3 1/4 = 4 6/8 - 3 1/4 = 4 3/4

So, the equation becomes:

4 3/4 - x = 4 1/8

Step 4: Isolate x by moving 4 3/4 to the other side of the equation:

x = 4 3/4 - 4 1/8

Step 5: Subtract 4 1/8 from 4 3/4:

4 3/4 - 4 1/8 = (4 - 4) + (3/4 - 1/8) = 0 + 2/4 = 2/4 = 1/2

So, the solution to the equation is:

x = 1/2