Question
Explain why the process of dividing by a rational number is the same as multiplying by its reciprocal.
Hint:
When you divide an expression by another one, make sure that the denominator excludes the values for which it gets a zero. This is because; division by a zero value is not defined.
We are asked to explain why the process of dividing by a rational number is the same as multiplying by its reciprocal.
The correct answer is: Here, 1 over cd is the reciprocal of cd
Step 1 of 1:
If 
, then the division of the two rational numbers ab and cd is a rational number. In general,
Here, 
is the reciprocal of cd.
Reciprocal of a number is also called its multiplicative inverse. That is dividing a number by another has the same effect as multiplying it with its reciprocal.
Related Questions to study
Sketch the graph of y = 2x - 5.
Sketch the graph of y = 2x - 5.
Simplify each expressions and state the domain : 
Simplify each expressions and state the domain :
Reduce the following rational expressions to their lowest terms
Reduce the following rational expressions to their lowest terms
Describe the error student made in multiplying and simplifying
Describe the error student made in multiplying and simplifying
The LCM of the polynomials 
is.
The LCM of the polynomials is.
Write the equation in slope-intercept form of the line that passes through the points (5, 4) and (-1, 6).
The slope intercept form is y = mx + b, where m represents the slope and b represents the y-intercept. We can draw the graph of a linear equation on the x-y coordinate plane using this form of a linear equation.
Steps for determining a line's equation from two points:
Step 1: The slope formula used to calculate the slope.
Step 2: To determine the y-intercept, use the slope and one of the points (b).
Step 3: Once you know the values for m and b, we can plug them into the slope-intercept form of a line, i.e., (y = mx + b), to obtain the line's equation.
Write the equation in slope-intercept form of the line that passes through the points (5, 4) and (-1, 6).
The slope intercept form is y = mx + b, where m represents the slope and b represents the y-intercept. We can draw the graph of a linear equation on the x-y coordinate plane using this form of a linear equation.
Steps for determining a line's equation from two points:
Step 1: The slope formula used to calculate the slope.
Step 2: To determine the y-intercept, use the slope and one of the points (b).
Step 3: Once you know the values for m and b, we can plug them into the slope-intercept form of a line, i.e., (y = mx + b), to obtain the line's equation.
=1 why is a valid identity under the domain of all real numbers except 
.
is:
, then their HCF can be ________.
