Question

represent the value of p in the form x + p = q given the equation x - 5 2/9 = 29

Answer 1

Can you simplify it?

Answer 2

To represent the value of p in the form x + p = q, we need to solve for x in the given equation x - 5 2/9 = 29.

To start, let's convert the mixed number 5 2/9 into an improper fraction:

5 = 45/9 (since there are 9 ninths in a whole)
2/9 (no need to convert since it is already a ninth)

Now, we replace x - 5 2/9 with its equivalent in terms of improper fractions:

x - 45/9 - 2/9 = 29

Combining like terms on the left side:

x - (45/9 + 2/9) = 29
x - 47/9 = 29

To isolate x, we add 47/9 to both sides of the equation:

x - 47/9 + 47/9 = 29 + 47/9
x = 29 + 47/9

Now, x is represented as a fraction with a common denominator:

x = (29 * 9 + 47)/9
x = (261 + 47)/9
x = 308/9

Therefore, the value of p in the form x + p = q is:

p = 308/9