Question

Given y+4​/5=1⅖, what is the simplified equation if the numerator and denominator are the same distance to the y?

a) y+4​/5=7/5

b) y+4​/5=3/5

c) y+4​/5=2/5

d) y+4​/5=1/5

Answer 1

The simplified equation that correctly represents the expression when y and the other terms are an equal distance from y is y + 4 / 5 = 7/5, making the answer option (a) correct.

This correct answer is a)

Step-by-step explanation:

The question requires finding the value of y when the numerator and denominator in the expression y + 4 divided by 5 are an equal distance from y. The equation provided is y + 4 / 5 = 1⅘ (which is equivalent to 1 + 2/5 or 7/5).

To determine the correct simplified equation, we consider the distance from y to 4 and from 5 to y to be the same. Thus, the two must have the same value, meaning y should be equal to 4 and likewise, 5 should be equal to y + 4.

Since 4 is one less than 5, y must be one less than 4, resulting in y being equal to 3. When y = 3, we have 3 + 4, which gives us 7, so the fraction is 7/5. This is already simplified, so the correct answer to the question is (a) y+4​/5=7/5.

This correct answer is a)