Compare fraction 2over 3 and 7 over 8 which is greater
2 answers:
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Well, we are starting with 100 servings, and we're trying to find the amount of ingredients necessary to create 25 servings. To do this, we must first simply divide 25 by 100 to see what the ratio would be, and when we do this, we can see that
25 / 100 =
= 
Now, all we have to do is multiply all of the ingredients by the ratio to find out how much we would use for only a quarter of the amount that the original recipe calls for.
In order to multiply by a whole number by a fraction, you just need to make sure that the numerator is lined up with the whole number, and then put a 1 below the whole number to turn it into a fraction. Then, you can divide the numerators and denominators together, respectively.
1.) 100 * = 
= 
= 
= 25
2.) 72 * = 
=
= 
= 18
3.) 14 * = 
= 
= 
= 3 
4.) 6 * = 
= 
= 
= <span>1 </span>
5.) 24 * = 
= 
= 
= 6
6.) 80 * = <span>
= 
= 
= <span>20</span>
</span>7.) 50 * = 
= 
= 
= 12
And there you have the recipe ingredients necessary for 25 servings.
Hope that helped! =)
25 / 100 =
Now, all we have to do is multiply all of the ingredients by the ratio to find out how much we would use for only a quarter of the amount that the original recipe calls for.
In order to multiply by a whole number by a fraction, you just need to make sure that the numerator is lined up with the whole number, and then put a 1 below the whole number to turn it into a fraction. Then, you can divide the numerators and denominators together, respectively.
1.) 100 *
2.) 72 *
3.) 14 *
4.) 6 *
5.) 24 *
6.) 80 *
</span>7.) 50 *
And there you have the recipe ingredients necessary for 25 servings.
Hope that helped! =)
<h2>Similar Triangles</h2>
Similar triangles have the same proportions of sides, but they have different side lengths.
To solve for missing sides in similar triangles, we can set up a proportion.
For instance, let's say that side <em>a</em> in Triangle A corresponds with side <em>b</em> in Triangle B. Let's say that side <em>h</em> in Triangle A also corresponds with side <em>k</em> in Triangle B. Then, it would be true that:
We need to make sure of a couple things:
- The numerators and denominators of fractions are corresponding
- The numerators describe one triangle, and the denominators describe another (can't switch, otherwise the calculations will get messed up)
We're given two triangles (do you see it?).
- Triangle ABC
- Triangle ADE
These two triangles are similar.
We must solve for the length of side BC in Triangle ABC.
- We're given the length of DE, the corresponding side in Triangle ADE.
- We're also given the lengths of bottom sides, 20 units and 30 + 20 = 50 units.
Set up a proportion:
Therefore, the unknown length is 37.5 units.
<h2>Answer</h2>37.5 units