If this is "due in tomorrow", then it's likely homework for a grade. It's forum policy not knowingly to help with such problems.
hi im really confused about these questions i can do whole numbers but not decimals:
Josiah is making rectangular tiles.
The ratio of length:width must always be 5:3
q1. He makes a tile 4.5cm wide how long must the tile be?
1b.He makes a miniature tile in the same ratio with a length of 2.5cm. how wide must the tile be?
Thank you if you can help me asap please.
Well, one way to think of this problem is in terms of unit conversion: units of width to units of length or vice versa. So, the ratio statement itself is saying that
You can also just as easily flip both fractions to say that
You're asked to "convert" from units of width to units of length. Your intuition about multiplication is good. But what will you multiply by? You want the undesired units to cancel, and be left with the desired units.
You want the units to cancel. So multiply by whichever of the two fractions I've provided will do that. This is no different from normal unit conversion. For example, it's a fact that It follows, then, that
Therefore, I may multiply any quantity whatsoever by either fraction, and not change the value. (I'm just multiplying by 1, after all.) So, if I want to convert 3 inches to centimeters, I do this:
Yes, units can cancel just like that. So, you pick whichever fraction will get the undesired units to cancel, so that you're left with the units you want.
Now, in the problem you have, you have units of width, but you want units of length. Which fraction would you pick to multiply your 5.5?
Darn. I wasn't clear. Post # 11 is mostly an example to show you how unit conversion works. The question at the end of Post # 11 is referring back to Post # 8. So, to rephrase: which of the two fractions in Post # 8 do you want to multiply your 5.5 units of width by? Don't worry about cm to in conversion in this problem. The cm, in your problem as posted in Post # 5, will just come along for the ride.