Question

If x+4/4 = y+7/7, then x/4 = _______.
A. y-3
B. y+3
C. y/4
D. y/7

Answer 1

@RadEn

Answer 2

@Jaydog477 Yeah, I'm having some severe difficulty..

Answer 3

It's not hard if you know this rule

\[\frac{a + b}{b} = \frac{a}{b} + \frac{b}{b} = \frac{a}{b} + 1\]

Answer 4

@kalieklab I'll help you reduce the left side, then you can try the right side:

\[\frac{x + 4}{4} = \frac{x}{4} + \frac{4}{4} = \frac{x}{4} + 1\]

Answer 5

@Hero would the answer be B?

Answer 6

How did you arrive at your answer? Show your reasoning or the work you did to come up with your answer.

Answer 7

@Hero My sister was looking over my shoulder and suggested it's B, so I was wondering if it's correct is all (:

Answer 8

Do you understand the steps I have demonstrated to you above?

Answer 9

@Hero Yes, I do, and I really appreciate how clear you were

Answer 10

Have you tried simplifying \(\dfrac{y + 7}{7}\) yet?

Answer 11

@Hero wouldnt it just be y?

Answer 12

@kalieklab how did you arrive at y as a result?

Answer 13

@Hero I just canceled out the numbers by simplifying

Answer 14

Can you show your work please? Thanks. Use the draw button if necessary.

Answer 15

@Hero I'm really sorry, but I'm super pressed for time right now. I'm drawing it out with a pencil next to me, but I don't think I can with the pencil

Answer 16

with the draw**

Answer 17

It is best for students show their work because that's the only way I'll be able to guide you so that you know how to solve it on your own.

Answer 18

@Hero I know, and I'm really sorry but I just cannot right now. Is the answer B? I really need to move on to my next question

Answer 19

Okay, I will post the steps this time, but in the future, figure out how to use the draw button.

Answer 20

@Hero thank you so much

Answer 21

You are given:
\[\frac{x + 4}{4} = \frac{y + 7}{7}\]

Apply the rule \(\frac{a + b}{b} = \frac{a}{b} + \frac{b}{b}\):

\[\frac{x}{4} + \frac{4}{4} = \frac{y}{7} + \frac{7}{7}\]

Apply the rule \(\frac{b}{b} = 1\):
\[\frac{x}{4} + 1 = \frac{y}{7} + 1\]

Subtract 1 from both sides to get:
\[\frac{x}{4} = \frac{y}{7}\]

Answer 22

@Hero that was so perfectly explained, thank you!