negative seven-thirds divided by negative thirteen-sevenths
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To divide negative seven-thirds by negative thirteen-sevenths, follow these steps:
Step 1: Convert the fractions to a common denominator.
To do this, multiply the numerator and denominator of the first fraction (-7/3) by 7, and multiply the numerator and denominator of the second fraction (-13/7) by 3. This will give us -49/21 and -39/21, respectively.
Step 2: Divide the two fractions.
Dividing fractions involves multiplying the first fraction by the reciprocal of the second fraction. So, we need to divide -49/21 by -39/21.
To multiply fractions, multiply the numerators together and the denominators together. The resulting fraction will be the answer.
(-49/21) / (-39/21) = (-49/21) * (21/-39)
Simplifying the expression gives:
(-49 * 21) / (21 * -39)
The 21 in the numerator and denominator cancel out, leaving us with:
-49 / -39
Step 3: Simplify the resulting fraction.
Since both the numerator and denominator have a negative sign, they cancel each other out, resulting in a positive fraction. We can simplify this fraction further by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 1.
So, the final answer is:
(-49) / (-39) = 49/39, or simplified as 7/3.
Therefore, negative seven-thirds divided by negative thirteen-sevenths equals 7/3.
-(7/3) / -(13/7)
-(7/3) * -(7/13) = 49/39 = 1 10/39