Respuesta :
The reciprocal of -4 3/4 is -4 4/3
Reciprocal is also called the multiplicative inverse. one of two numbers whose product is 1, n x 1/n = 1.
reciprocal of [tex]\frac{3}{4}(-4)[/tex] is [tex]\frac{4}{3}(-4)[/tex]
In Maths, reciprocal is simply defined as the inverse of a value or a number. If n is a real number, then its reciprocal will be 1/n. It means that we have to convert the number to the upside-down form. For example, the reciprocal of 9 is 1 divided by 9, i.e. 1/9.
Reciprocal of Negative Numbers
For any negative number -x, the reciprocal can be found by writing the inverse of the given number with a minus sign along with that (i.e.) -1/x. For example, the reciprocal of – 4x2 is written as -1/4x2. Go through the following steps to find the reciprocal of the negative number.
Step 1: For any negative number, write the given number in the form of an improper fraction by writing the number 1 in the denominator.
Step 2: Now, interchange the numerator and denominator values.
Step 3: Add a minus sign (-) to the resultant number.
Now, Consider a negative number, -17.
Step 1: Convert the number 17 in the improper fraction. (i.e) 17/1.
Step 2: Interchanging the numerator and denominator value, we get 1/17.
Step 3: Finally, adding a negative sign to the resultant number, we get -1/17.
Therefore, the reciprocal of -17 is -1/17.
Reciprocal of a Fraction
The reciprocal of a fraction can be found by interchanging the numerator and the denominator values.
Example: Find the reciprocal of 2 / 3
Solution: To find the solution we will follow the following steps
The reciprocal of 2/3 is 3/2. (or)
Use the formula, x = 1/x,
Here, x = 2/3
Thus, x = 1 / x = 1 / (2/3)
= 3/2
Therefore, the reciprocal of a fraction 2/3 is 3/2.
learn more about reciprocal here : brainly.com/question/18634761
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