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To divide (-3/5) by (-15/11), there are two rules that apply. First, the rule in dividing signed numbers (same applies in multiplication): if the dividend (first number) and divisor (second number) have the same sign, the quotient is positive, otherwise, the quotient is negative. Second, the rule in dividing fractions: take first the reciprocal or inverse of the divisor, then apply multiplication.
Now, let's apply those rule. Notice that both given are negative, so we are expecting a positive answer.
Then, get the reciprocal of the divisor, `(-15)/(11)`
which results to `(-11)/(15)`
then apply multiplication: `(-3)/(5) * (-11)/(15) .`
In multiplying fractions, just multiply numerators together and the denominators together. That would be:
so -3 * -11 = 33 (positive, since both factors are negative) and
5 * 15 = 75.
The fraction is `(33)/(75).`
You can simplify that answer into smaller fraction by dividing top ang bottom by the the GCF of 33 and 75, that is 3. You can get 3 by listing the prime factors of each.
33 = 3 *11 (both 3 and 11 are prime numbers)
75 = 3 * 5 * 5 (5 is also a prime number)
Get the factor/factors that is/are common to both. In this case, 3 is only the number that is common to both. In case that there are multiple common numbers, you just multiply those numbers to get GCF. So GCF is 3 in here.
Therefore, your answer should be 11/25. Remember always reduce your answer to lowest term. :)
(-3/5) / (-15/11)
Dividing by a fraction is the same multiplying by its reciprocal. The reciprocal of -15/11 is -11/15
So the problem can be rewritten as
-3/5 x -11/15
When multiplying fractions, do the numerators and denominators separately:
33/75 is the simplified answer.
To simplify, divide by a common multiple like 3:
Divide. A) (-3/5)/(-15/11)
You would simply multiple across after you flip the second part of the equation
`(-3/5)` `(11/-15)` = 33/75
Since there are two negatives in the problem they both get cancelled out
Since 33 and 75 are both divisible by 3 you can divide 33/75 divided by 3 and get 11/25
Flip the divider
Multiply straight across
`-3/5xx-11/15 = 33/75`
33/75 is the answer but you can simplify it because both 33 and 75 have a common fact of 3
`33/75 -: 3 = 11/25`
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