Which fractions are equal to -9/36?
a. 3/-12
b. -1/4
c. -4
d. 3/12
e. 1/4
f. 4
my answer is b
A negative divided by a positive is a negative.
This rules out the last 3 choices.
Can you see any numbers that evenly divide into top and bottom?
correct
However, it says, "which fractions" are equal to -9/12,
isn't 3/-12 also the same?
To find fractions that are equal to -9/36, we can simplify the given fraction first.
To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator and divide both the numerator and denominator by the GCD.
In this case, the GCD of -9 and 36 is 9 (since both -9 and 36 are divisible by 9). By dividing both the numerator and denominator by 9, we get:
(-9 ÷ 9) / (36 ÷ 9) = -1/4.
So, the fraction -9/36 simplifies to -1/4.
Now, we can compare -1/4 with the given answer choices:
a. 3/-12: This fraction can be simplified to -1/4 (divide both numerator and denominator by 3). It is equal to -9/36, so it is a valid answer.
b. -1/4: We already know that -9/36 is equal to -1/4, so it is a valid answer.
c. -4: This is not a fraction; it is a whole number. Although -4 can be written as -4/1 in fraction form, it is not equal to -9/36. So, it is not a valid answer.
d. 3/12: This fraction can be simplified to 1/4 (divide both numerator and denominator by 3). It is not equal to -9/36, so it is not a valid answer.
e. 1/4: This fraction is not equal to -9/36, so it is not a valid answer.
f. 4: This is not a fraction; it is a whole number. Although 4 can be written as 4/1 in fraction form, it is not equal to -9/36. So, it is not a valid answer.
Therefore, the fractions that are equal to -9/36 are:
a. 3/-12
b. -1/4