# Move one thing in the equation [closed]

$1484 / (7 / 9) = 19$

Make the equation true by moving one continuous shape or operation in the equation.

• -1 until the directions become more clear on what is expressly allowed. Sep 12 '18 at 19:53
• @RohitJose There are multiple distinct answers that fit those rules. Sep 12 '18 at 20:34
• Is there a valid solution in this puzzle? Sep 13 '18 at 11:18
• By continuous shape, do you mean a contiguous black shape? Not a region containing multiple separate black shapes? Is it acceptable to change numbers into other numbers by overlaying lines on them? Is it acceptable to break a shape and move only part of it? Is grouping/parentheses considered a single operation (I mean, can you freely move both parentheses around, or must any movement just be one parenthesis?). I've been staring at this for way too long... Sep 13 '18 at 18:19
• I think I have to downvote - the rules keep changing, and even though there has been a series of answers that met the rules at the time, you've changed the rules to make them invalid. This has become a game of "guess what I am thinking" not "find a valid answer". Sep 14 '18 at 14:15

## 14 Answers

In a similar method to Vaelus' answer, take the

empty space above the equation connecting the 8 and the second /, like so:

EDIT: The continuous shape that I've extracted is given by the blue here, which fits the requirements of the original question:

If you then

rotate this 135 degrees clockwise, you will see that the slash is now vertical and looks like a 1, and the 8 looks like two diagonal zeros

Either

shrink this

or

change the distance of the two pieces from the viewer to simulate zooming. It will look like the following: Superimpose this back on the remainder to get this:

Which gives us

the modulo operator, and the equation 1441 % (79) = 19

Which is true

• Wouldn't this be considered moving two things? Sep 13 '18 at 22:00
• Yes, that is moving two things Sep 14 '18 at 6:33
• Despite a mistake in an earlier version of my answer, in the current version, you can see I move only the background, without moving any of the symbols on top of it. In my original conception, moving the background would have left the foreground color, analogously to how moving the foreground color leaves the background color. This would have left the characters on top completely "invisible". However, I opted to go for the more humorous circuit board design, with the other symbols barely perceptible over it. Sep 14 '18 at 9:03
• I've added another image to show that this meets the requirements of the question, by "moving one continuous shape". It is moving two glyphs, but they are connected by a continuous shape. Sep 14 '18 at 14:11
• This is the correct answer? Sep 14 '18 at 15:05

If you move the continuous region of background outlined in red to the indicated location: The equation becomes true:

• Hahhah, this made me laugh. Very creative Sep 12 '18 at 19:27
• Wow... that’s unbelievable... I never thought of that Sep 12 '18 at 19:43
• I like the circuit board. Nice touch Sep 13 '18 at 13:11
• I don't get this answer, is the slash supposed to represent a slanted one? Sep 13 '18 at 21:47
• @AnthonyPham Yes, although it's certainly not good style. I don't know what the author was thinking. Sep 13 '18 at 21:49

Maybe

Take the first(or second) slash/division and put over the equal sign(that's what everyone else does).

To get

1484(7/9)≠19

If this is allowed :p

• Nooooo! Not that! UGHHH! Do I have to specify this every time I make something like this? Sep 12 '18 at 17:33
• For what it’s worth, I officially approve of this answer haha! Sep 12 '18 at 17:56
• I think you meant to write second. Sep 12 '18 at 17:59
• "Do I have to specify this every time I make something like this?" Only if you want to ask a community that tries its hardest to bend the rules... I mean think laterally to get an answer. Sep 12 '18 at 23:10
• @Alpha I know... I know... Sep 13 '18 at 17:25

Move the $1$ in $1484$ and move it to cross the $1$ in $19$.

$484 / (7 / 9) = x9$

The solution to this equation is $x = 484/7$.

UPDATE: In response to the hint (I'm sure this is still not the answer OP is wanting, however, it fits the rules just fine), the same trick can be done by moving either of the division signs.

$1484 (7 / 9) = x9$; Solution: $x = 10388/81$
or
$1484 / (79) = x9$; Solution: $x = 1484/711$

• This is interesting, but not right because you haven’t defined the x, so you don’t know if it’s correct Sep 13 '18 at 15:03
• @RohitJose Did I misinterpret any of the rules? There seems to be many valid answers... Sep 13 '18 at 15:04
• @RohitJose An equation is a statement that the values of two mathematical expressions are equal (source). This is, by definition, an equation, just as $a = b$ is an equation. Sep 13 '18 at 16:20
• but is it true? Sep 13 '18 at 16:47
• I may be speaking out of my expertise here, but I don't believe it's possible to call an equation that includes an algebraic expression true or false. If you mean "solvable", then yes, there exists a solution for which $484/(7/9) = x9$ is true. All of this really is irrelevant to solving your puzzle, as you've already indicated this is not the answer you have in mind. Would you consider adding a hint to narrow down the possible answers? Sep 13 '18 at 17:01

An alternative solution...

Take the $=$ sign and spin it 90 degrees to make it into a logical OR operator $||$. Thus, the resulting expression is: $1484/(7/9) || 19$ which equates to TRUE since both sides of the || are not equal to $0$.

• Welcome to Puzzling.SE! I would imagine that this falls under the "no inequality signs" rule, which is designed to prevent exactly these sorts of sneaky answers. Sep 12 '18 at 19:15
• Wow I didn’t think of that! Well done, but as above, no cheaty answers Sep 12 '18 at 19:19
• I don't think this is making an inequality sign. If OP doesn't want someone touching the = he should expressly disallow moving or modifying it. Sep 12 '18 at 19:25
• Done. How’s that then? Sep 12 '18 at 19:39

I'm sure this isn't what you want either:

Assuming rotation is allowed, move the second division sign over to the equals sign and make it "defined as".

Like:

1484/(79) ≡ 19. Not sure why you'd want to define it this way though...

• Good idea, but not correct Sep 12 '18 at 18:25

I think if

The equation was formed like $1484 / (\frac 7{9}) = 19$

We could

Move a copy of $\frac 7{9}$ over the $84$ to make it $14\frac 7{9} / (\frac 7{9}) = 19$

• That's an interesting idea, but incorrect Sep 13 '18 at 19:34

Well, I'm sure this isn't the correct answer; however, if you round up!

14(84/7/9) = 18.6... rounded up = 19.

• Good, but no rounding Sep 12 '18 at 18:00
• If you leave a down-vote, please comment and explain how I can improve my post. Sep 12 '18 at 21:00

Take the

First division sign

and use it to

strikethrough the 4, 8, and 7

to get

$1$484(7/$9)$$=19 Or 19=19 SOLUTION #2 Re-read the title. The 'thing' i'm putting in the equation is 08, at the end. Which is 1484/(7/9) = 1908 Math: 1484/(7/9) --> (1484*9)/7 --> 1908 • The ROT13(svefg qvivfvba fvta) is not that long! Sep 12 '18 at 19:05 • Good idea, but what about the dots? Also, yes, as Wais Kamal said, it’s not THAT long Sep 12 '18 at 19:09 • Oh yea. Right. Back to the drawing board with more CREATIVE solutions – Alto Sep 12 '18 at 19:11 • I see where you're going with the second solution, but "08" would not be considered a continuous shape since the two numbers are separated. Sep 12 '18 at 19:50 • Seriously? Sigh. – Alto Sep 12 '18 at 19:55 I'm pretty sure this is not what you want either, but if you take the bottom line of the equal sign and tilt it upward, you make an awkward greater than sign and 1484/(7/9)>19 is true. • xhienne tried this already, but good try Sep 12 '18 at 19:17 • @RohitJose SteveV was first to propose an inequality. But this one is different. Sep 12 '18 at 20:21 • No equalities as well Sep 12 '18 at 20:51 A similar idea as others who have fiddled with the equal sign: move the second / over the equal sign in order to make a ≤ sign This yields: 1484/(79) ≤ 19 (which is correct since 1484 / 79 ~= 18.78) • This would require two moves, so I don't think it qualifies. Sep 12 '18 at 18:47 • No @RobertS, the equal sign doesn't change despite what the font is displaying. Sep 12 '18 at 18:49 • Also, the problem is to make a true equation Sep 12 '18 at 18:53 • @RohitJose That seems unfair then. Now this puzzle has devolved into a "guess what I'm thinking" game. Sep 12 '18 at 19:23 • @maxathousand Ok, let me rephrase, as seen now in the question, no messing with the = sign Sep 12 '18 at 19:41 If we could take the slanty bit off the top of the first 4 We are left with 1 + 84 / (7/9) = 19 and we can place a single straight line somewhere to make it all work out. But 1 + 84/(7/9) = 109 and I can't find a way to turn 19 into 109 by adding a single straight line (or any other way to proceed down this line of thinking) • You are not on the right track, but good try Sep 13 '18 at 19:33 • You can even get to the same place by removing the first 4 entirely. The left hand side 1 84/(7/9) could arguably be considered implicit multiplication by 1 or addition of 1 like a strange mixed fraction, to get 108 or 109. I can't figure out how to use a 4 on the right hand side either though. Sep 13 '18 at 19:35 If you lasso a region containing the two 1s and move them both down a bit, you end up with 1^{484/(7/9)} = 1^9 Each side just simplifies to get 1 = 1 • Good answer, but that moves 2 ones. Welcome to Puzzling.SE! Also, the hint says "don't move a digit" so, yeah. – Alto Sep 13 '18 at 23:30 • It moves 2 ones, but by the same amount, and you could easily define a single region containing only them. Seems just as legitimate as the accepted answer to me. Sep 15 '18 at 18:28 You can simply move the second division sign to connect the tail of the 9 to the bottom of the circle of the 9, making the 9 into an 8. As a result, the equation is now$$1484 / (78) = 19$\$ As long as we use the computer science / operator, namely floored division, the equation is true.

• Good try, but I was meaning that to be the division operator, the floor operator is // Sep 14 '18 at 6:35