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Is 4/100 equal to 4/10

User Tom Aranda
by
8.5k points

2 Answers

3 votes

Answer:

No 4/100 is 4% while 4/10s is 40%.

User TPM
by
7.4k points
2 votes

Answer: No

Step-by-step explanation: To decide whether 4/100 is equivalent to 4/10, we can write each of these fractions as percents and compare them from there.

To write a fraction as a percent, first remember that a percent is a ratio of a number to 100. So to write 4/10 as a percent, we need to find a fraction equivalent to 4/10 that has a 100 in the denominator. We can do this by setting up a proportion.


So
we
have
(4)/(10) = (n)/(100)

Now, we can use cross products to find the missing value.

So we have 4 times 100 which is 400 is equal to 10 times n or 10n

Now, dividing both sides of the equation by 10, we have 40 = n.

So 4/10 is equivalent to 40/100 or 40%.

Remember that a percent is a ratio that compares a number to 100.

So we can write 4/100 as 4%.

Now, 40% is not equivalent to 4% so they're not equal.

User Hasam
by
8.3k points

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