Divide −3/17 by −2/3
To divide fractions, we can multiply the numerator of the first fraction by the denominator of the second fraction and the denominator of the first fraction by the numerator of the second fraction.
Therefore,
(-3/17) ÷ (-2/3) = (-3/17) * (3/-2)
Multiplying the numerators gives: -3 * 3 = -9
Multiplying the denominators gives: 17 * 2 = 34
So, (-3/17) ÷ (-2/3) = -9/34
To divide -3/17 by -2/3, you need to follow these steps:
Step 1: Invert the divisor
To divide by a fraction, you need to invert it. The reciprocal of -2/3 is -3/2.
Step 2: Multiply the dividend by the inverted divisor
Multiply -3/17 by -3/2.
-3/17 * -3/2 = (−3 * −3) / (17 * 2)
Simplifying the numerator and denominator gives:
9/34
Therefore, -3/17 divided by -2/3 is equal to 9/34.
To divide −3/17 by −2/3, you can follow these steps:
Step 1: Invert the divisor.
Inverting a fraction means that you swap the numerator and denominator. So, the reciprocal of −2/3 would be −3/2.
Step 2: Multiply the dividend by the reciprocal of the divisor.
Multiply the fraction, −3/17, by the reciprocal fraction, −3/2.
The calculation would be as follows:
(-3/17) * (-3/2)
Step 3: Simplify the resulting fraction (if needed).
After multiplying the fractions, you may need to simplify the result. To simplify, you can find the greatest common divisor (GCD) between the numerator and denominator and divide both by it.
Now let's calculate the division:
(-3/17) * (-3/2) = (3 * 3) / (17 * 2) = 9/34
Therefore, −3/17 divided by −2/3 is equal to 9/34.