What is 25% of 100????
2 answers:
Answer: 25
Step-by-step explanation: Well <em>percent</em> means <em>over 100</em> so we can set up an equation for this problem by reading it from left to right.
<em>What</em> means <em>x</em>, <em>is</em> means <em>equals</em>, <em>25%</em> is <em>25/100</em>, <em>of</em> means <em>times</em>, and 100 means 100. So we have the equation x = 25/100 · 100.
Simplifying on the right side of the equation,
notice that 25/100 reduces to 1/4.
So we have x = 1/4 · 100.
Think of the 100 as 100/1.
So we can cross-cancel the 100 and 4 to 25 and 1
and we have x = 1 · 25 over 1 · 1 or x = 25.
Now let's check our answer back in the original problem to see if it makes sense.
We have <em>25 is 25% of 100</em>.
Well we know that 100% of 100 would be 100 so 25% of 100 should be alot less than 100 so 25 seems to make sense.
My work is attached in the image provided.
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Hi there!
Question 1:
For this, we are taking away 1/4 yards of spring from 7/8 yards. This is essentially just subtracting 1/4 from 7/8. This then gives us the equation:
Now, to subtract these, we want to make it so the denominators are the same, or the numbers on the lower half are the same. (One way to explain why this is true is: ). Now, to make it so the denominators are the same, we can multiply the second fraction, 1/4, by 2/2 as 2/2 is essentially 1, and multiplying by 1 will get the same result, just with a denominator switched in this case. Doing this, we get:
Now, subtracting the numerators, we get:
yards of string will remain.
Question 2:
For this, we are combining these two thicknesses, and thus we add 1/4 to 7/12. This gives us the equation:
Now, we again want to make it so the denominators are the same. (Here's a similar proof but for addition this time: ). Now, to make the denominators the same, we can multiply the first fraction, 1/4, by 3/3 (also equivalent to 1). Doing this, we get:
, which is equivalent to (dividing both the top and the bottom by 2)
inches.
Hope this helps!