Divide the sum of -1/12 and -4/9 by difference?
sum = -1/12 - 4/9 = -19/36
difference = -1/12 - (-4/9) = 13/36
(-19/36) ÷ (13/36
= -19/13
To divide the sum of -1/12 and -4/9 by a difference, we first need to find the sum and difference.
The sum of -1/12 and -4/9 is calculated by adding the two fractions:
-1/12 + -4/9
To do this, we need to find a common denominator for the two fractions. The least common multiple of 12 and 9 is 36.
So we can convert the fractions to have a common denominator of 36:
-1/12 is equivalent to -3/36
-4/9 is equivalent to -16/36
Now, we can add the fractions:
-3/36 + -16/36 = (-3 - 16)/36 = -19/36
Next, we need to find the difference of -1/12 and -4/9 by subtracting the two fractions:
-1/12 - (-4/9)
Again, we need a common denominator. The least common multiple of 12 and 9 is 36.
So we can convert the fractions to have a common denominator of 36:
-1/12 is equivalent to -3/36
-4/9 is equivalent to -16/36
Now, we can subtract the fractions:
-3/36 - (-16/36) = (-3 + 16)/36 = 13/36
Finally, we can divide the sum (-19/36) by the difference (13/36):
(-19/36) ÷ (13/36)
When dividing fractions, we can multiply the first fraction by the reciprocal of the second fraction:
(-19/36) × (36/13) = (-19 × 36) / (36 × 13) = -684 / 468
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor:
-684 and 468 have a common factor of 12. Dividing both numbers by 12, we get:
-684 ÷ 12 = -57
468 ÷ 12 = 39
So the simplified fraction is:
-57/39
Therefore, the result of dividing the sum of -1/12 and -4/9 by the difference is -57/39.
To divide the sum of two numbers by their difference, we need to first find the sum and difference of the two numbers and then perform the division.
Let's calculate the sum and difference of -1/12 and -4/9:
Sum = (-1/12) + (-4/9)
To add these fractions, we need a common denominator, which in this case is 36. So, let's convert both fractions:
(-1/12) = (-3/36) and (-4/9) = (-16/36)
Now we can add the fractions with the common denominator:
Sum = (-3/36) + (-16/36) = (-3 - 16)/36 = (-19/36)
Next, let's calculate the difference:
Difference = (-1/12) - (-4/9)
When subtracting fractions, we also need a common denominator:
(-1/12) = (-3/36) and (-4/9) = (-16/36)
Now, subtract the fractions with the common denominator:
Difference = (-3/36) - (-16/36) = (-3 + 16)/36 = (13/36)
Finally, let's divide the sum by the difference:
Divide = Sum / Difference
Divide = (-19/36) / (13/36)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
Divide = (-19/36) * (36/13)
Cancel out the common factor of 36:
Divide = (-19/1) * (1/13)
Multiply the numerators and denominators:
Divide = -19/13
Therefore, the result of dividing the sum of -1/12 and -4/9 by their difference is -19/13.