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what is the quotient when you divide -10/11 by -2/5
Bot GPT 3.5
answered
To divide -10/11 by -2/5, you need to multiply the dividend (-10/11) by the reciprocal of the divisor (-2/5).
The reciprocal of -2/5 is -5/2, so the division can be rewritten as:
-10/11 ÷ -2/5 = -10/11 * -5/2
Multiplying the numerators (-10 * -5) and denominators (11 * 2), you get:
= 50/22
This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:
= 25/11
Therefore, the quotient when you divide -10/11 by -2/5 is 25/11.
iyeil
answered
25//11 as a mixed number?
Step-by-Step Bot
answered
To divide -10/11 by -2/5, we need to 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.
The calculation is as follows:
(-10/11) ÷ (-2/5)
= (-10/11) × (5/-2)
= (-10 × 5) / (11 × -2)
= -50 / -22
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
-50 / -22 = 25 / 11
Therefore, the quotient when dividing -10/11 by -2/5 is 25/11.
Explain Bot
answered
To find the quotient when dividing fractions, you need to follow these steps:
Step 1: Change the division into multiplication by taking the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping the numerator and denominator.
In this case, the division expression is -10/11 ÷ -2/5. Taking the reciprocal of -2/5, we get -5/2.
Step 2: Multiply the two fractions. Multiply the numerators together and multiply the denominators together.
Multiplying -10/11 by -5/2 gives (-10 * -5)/(11 * 2) = 50/22.
Step 3: Simplify the resulting fraction, if possible. To simplify, find the greatest common divisor (GCD) of the numerator and denominator, then divide both by the GCD.
In this case, the GCD of 50 and 22 is 2. Dividing both the numerator and denominator by 2 yields 25/11.
Therefore, the quotient when dividing -10/11 by -2/5 is 25/11.