Divide.
7/8÷(−5/12)
To divide fractions, you need to multiply the dividend (numerator of the first fraction) by the reciprocal of the divisor (denominator of the second fraction).
The reciprocal of (-5/12) is (-12/5).
So, the division 7/8 ÷ (-5/12) becomes (7/8) * (-12/5).
Multiplying the numerators (7 * (-12)) and the denominators (8 * 5) we get:
= (-84) / 40
This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 4.
= (-21) / 10
Therefore, 7/8 ÷ (-5/12) equals to (-21) / 10.
What is the quotient of −105 and −15?
To find the quotient of -105 and -15, you simply divide -105 by -15.
(-105) / (-15) = 7
Therefore, the quotient of -105 and -15 is 7.
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction. In this case, the reciprocal of -5/12 is -12/5.
So, we have:
7/8 ÷ (-5/12) = 7/8 * (-12/5)
Next, multiply the numerators together and the denominators together:
7 * -12 = -84
8 * 5 = 40
Therefore,
7/8 ÷ (-5/12) = -84/40
To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator, and divide both by it.
The GCD of 84 and 40 is 4.
-84 ÷ 4 = -21
40 ÷ 4 = 10
So,
-84/40 = -21/10
Therefore,
7/8 ÷ (-5/12) = -21/10
To divide fractions, you can follow these steps:
Step 1: Keep the first fraction the same (7/8).
Step 2: Flip (or invert) the second fraction (−5/12) so that the numerator becomes the denominator and the denominator becomes the numerator (12/−5).
Step 3: Change the divide symbol (÷) to a multiplication symbol (×).
Step 4: Now, multiply the two fractions together: (7/8) × (12/−5).
To simplify the final result, we need to cancel out common factors between the numerators and denominators. In this case, the number 7 and 5 have no common factors other than 1, so we cannot simplify the numerators.
For the denominators, 8 and 12 have a common factor of 4. To simplify, divide both 8 and 12 by 4, giving us 2 and 3 respectively.
Now, the expression becomes:
(7/8) × (12/−5) = (7×12)/(8×−5) = 84/(-40)
The final answer is 84/(-40).