All SAT Math Resources
Example Questions
Example Question #161 : Fractions
Solve .
Finding the common denominator yields . We can then evaluate leaving .
Example Question #1 : How To Find The Reciprocal Of A Fraction
What is the reciprocal of the following fraction: 18/27
9/27
9
27/18
-18/27
27/18
A fraction multiplied by its reciprocal will equal 1. To find the reciprocal of a fraction, switch the denominator and numerator. The reciprocal of 18/27 is 27/18.
Example Question #1 : How To Find The Reciprocal Of A Fraction
What is the reciprocal of the fraction below?
The reciprocal of a fraction can be obtained by switching the numerator and denominator.
The numerator in this case is so that will become the denominator.
The denominator in this case is so that will become the numerator.
Threfore the reciprocal of is .
Example Question #1 : How To Find The Reciprocal Of A Fraction
What is the reciprocal of ?
The reciprocal can be determined by taking one dividing the entire quantity.
This is just flipping the numerator and the denominator.
The answer is .
Example Question #1 : Reciprocals
What is the reciprocal of ?
To find the reciprocal, take 1 and divide by the entire quantity of the fraction. The reciprocal is simply swapping the placement of the numerator and the denominator.
Example Question #623 : Arithmetic
What is the negative reciprocal of ?
The negative reciprocal of a number is to take negative one, and divide by the value. Simply swap the numerator and denominator and add a negative sign.
Recall that dividing by a fraction is the same as multiplying by the reciprocal.
The correct answer is:
Example Question #1 : How To Find The Reciprocal Of A Fraction
Find the reciprocal of the fraction:
The reciprocal of a fraction is one over the quantity of the fraction.
Simply switch the terms of the numerator and denominator.
The answer is .
Example Question #1 : Reciprocals
The reciprocal of is equal to .
What is the reciprocal of ?
The reciprocal of is equal to , so - which is the reciprocal of the reciprocal of - is the reciprocal of . , so is the reciprocal of this, or .
Since ,
The reciprocal of is .
Example Question #162 : Fractions
3/5 + 4/7 – 1/3 =
88/105
3/37
7/9
72/89
4/3
88/105
We need to find a common denominator to add and subtract these fractions. Let's do the addition first. The lowest common denominator of 5 and 7 is 5 * 7 = 35, so 3/5 + 4/7 = 21/35 + 20/35 = 41/35.
Now to the subtraction. The lowest common denominator of 35 and 3 is 35 * 3 = 105, so altogether, 3/5 + 4/7 – 1/3 = 41/35 – 1/3 = 123/105 – 35/105 = 88/105. This does not simplify and is therefore the correct answer.
Example Question #171 : Fractions
What is the lowest common denominator of the fractions below?
In order to find the lowest common denominator, you must first list the multiples of each of the denominators of the three fractions:
The lowest common denominator between these three sets of multiples is .