-4/9 by 4/7
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 4/7 is 7/4.
So, (-4/9) ÷ (4/7) = (-4/9) * (7/4)
Now, we can multiply the numerators and the denominators:
(-4 * 7) / (9 * 4) = -28/36
This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4:
-28/36 = -7/9
So, -4/9 ÷ 4/7 equals -7/9.
To divide -4/9 by 4/7, you can follow these steps:
Step 1: Multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of 4/7 = 7/4
The expression becomes: -4/9 * 7/4
Step 2: Multiply the numerators and denominators of the fractions together.
(-4 * 7) / (9 * 4)
Step 3: Simplify the result if possible.
-28 / 36
Step 4: Reduce the fraction to its simplest form.
The greatest common divisor (GCD) of 28 and 36 is 4.
Simplify the numerator and the denominator by dividing them by the GCD.
-7 / 9
Therefore, -4/9 divided by 4/7 is equal to -7/9.
To divide -4/9 by 4/7, you need to multiply the dividend (-4/9) by the reciprocal of the divisor (4/7).
The reciprocal of a number is obtained by flipping the numerator and denominator. So, the reciprocal of 4/7 is 7/4.
Let's perform the calculation:
-4/9 ÷ 4/7 = -4/9 * 7/4
When multiplying fractions, you can simply multiply the numerators together to get the numerator of the result, and multiply the denominators together to get the denominator of the result.
(-4/9) * (7/4) = (-4 * 7) / (9 * 4)
Now, let's simplify the result:
-28 / 36
The fraction can be simplified further by dividing both the numerator and denominator by their greatest common divisor (GCD), which in this case is 4:
-28 ÷ 4 = -7
36 ÷ 4 = 9
So the final result is:
-7/9