Divide −4/9 by 4/7
.(1 point)
Responses
−16/63
7/9
−9/7
−7/9
To divide -4/9 by 4/7, we need to multiply the first fraction by the reciprocal of the second fraction.
(-4/9) * (7/4) = (-4*7) / (9*4) = -28/36.
Simplifying this fraction, we get -7/9.
Therefore, the answer is −7/9.
To divide -4/9 by 4/7, you can follow these steps:
Step 1: Invert the second fraction, which means swapping the numerator and denominator. This gives us -4/9 ÷ 7/4.
Step 2: Multiply the two fractions. Multiply the numerators together and multiply the denominators together. This gives us (-4/9) × (4/7) = -16/63.
Therefore, the division of -4/9 by 4/7 is equal to -16/63.
To divide fractions, you can follow these steps:
1. Invert the divisor (the second fraction) by swapping the numerator and denominator. In this case, the divisor is 4/7, so the inverted divisor becomes 7/4.
2. Use the inverted divisor to multiply it with the dividend (the first fraction). The dividend is -4/9. Multiply -4/9 by 7/4.
(-4/9) * (7/4)
3. Multiply the numerators together to get the new numerator and multiply the denominators together to get the new denominator.
(-4 * 7) / (9 * 4)
-28 / 36
4. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 28 and 36 is 4.
-28 / 36 can be simplified to -7 / 9.
Therefore, the answer to −4/9 divided by 4/7 is -7/9.