Fractions - HSPT Math
Card 0 of 1100
Find
.
Find .
To find the product of two fractions, multiply the numerators together and then multiply the denominators together.
, which can be reduced to
.
To find the product of two fractions, multiply the numerators together and then multiply the denominators together.
, which can be reduced to
.
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Which of the following is the reciprocal of 2.8?
Which of the following is the reciprocal of 2.8?
First, rewrite this as an improper fraction:

The reciprocal of an improper fraction can be found by switching its numerator and denominator, so the reciprocal is
.
First, rewrite this as an improper fraction:
The reciprocal of an improper fraction can be found by switching its numerator and denominator, so the reciprocal is .
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Which of the following is the reciprocal of
?
Which of the following is the reciprocal of ?
First, rewrite this as an improper fraction:

The reciprocal of an improper fraction can be found by switching its numerator and denominator, retaining the negative sign, so the reciprocal is
.
First, rewrite this as an improper fraction:
The reciprocal of an improper fraction can be found by switching its numerator and denominator, retaining the negative sign, so the reciprocal is .
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Solve:

Solve:
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Solve:

Solve:
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Which of the following is the reciprocal of 31.25?
Which of the following is the reciprocal of 31.25?
Rewrite 31.25 as a fraction:

Exchange the positions of the numerator and the denominator to get
. Now divide 4 by 125:

Rewrite 31.25 as a fraction:
Exchange the positions of the numerator and the denominator to get . Now divide 4 by 125:
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Find
.
Find .
To find the product of two fractions, multiply the numerators together and then multiply the denominators together.

To find the product of two fractions, multiply the numerators together and then multiply the denominators together.
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Solve:

Solve:
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Solve:

Solve:
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Multiply the fractions:

Multiply the fractions:
To multiply fractions, multiply both numerators on top and both denominators on the bottom.

Then, reduce to simplest form by removing any common factors:

Answer: 
To multiply fractions, multiply both numerators on top and both denominators on the bottom.
Then, reduce to simplest form by removing any common factors:
Answer:
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Divide:

Divide:
The first step in dividing fractions is to make the second fraction a reciprocal (flip it) and then rewrite the problem as a multiplication problem:
.
You can cross-reduce so that the problem now becomes
. Then, mulitply straight across so that your answer is
.
The first step in dividing fractions is to make the second fraction a reciprocal (flip it) and then rewrite the problem as a multiplication problem: .
You can cross-reduce so that the problem now becomes . Then, mulitply straight across so that your answer is
.
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What is the product of the two fractions below?

What is the product of the two fractions below?
To solve for this expression, first multiple the numerators, and then multiply the demonators.



Simplify the fraction by removing a common factor.

To solve for this expression, first multiple the numerators, and then multiply the demonators.
Simplify the fraction by removing a common factor.
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Solve for y:

Solve for y:
In order to solve for y, cross multiplication must be used. Appyling cross multiplication, we get:


Next, we divide each side by 12.
This results in 
In order to solve for y, cross multiplication must be used. Appyling cross multiplication, we get:
Next, we divide each side by 12.
This results in
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What is the value of
in this equation?

What is the value of in this equation?
In order to solve
, the latter fraction must be inverted and then multiplied by the first fraction, as shown below:

In order to solve , the latter fraction must be inverted and then multiplied by the first fraction, as shown below:
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On Monday, Marsha saw a sweater that she wanted to buy. It was 15 dollars. She went back the next day and saw that it was only 10 dollars. Which of the following is a sale that the store could have been running, explaining the reduced price on the sweater?
On Monday, Marsha saw a sweater that she wanted to buy. It was 15 dollars. She went back the next day and saw that it was only 10 dollars. Which of the following is a sale that the store could have been running, explaining the reduced price on the sweater?
Given that the sweater's price was reduced by 5 dollars, this is a one third reduction because one third of 15 dollars is 5 dollars. 15 dollars minus 5 dollars is equal to 10 dollars.
Thus, the correct answer is:
off
Given that the sweater's price was reduced by 5 dollars, this is a one third reduction because one third of 15 dollars is 5 dollars. 15 dollars minus 5 dollars is equal to 10 dollars.
Thus, the correct answer is:
off
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Which of the following statements demonstrates the identity property of multiplication?
Which of the following statements demonstrates the identity property of multiplication?
The identity property of multiplication states that there is a number 1, called the multiplicative identity, that can be multiplied by any number to obtain that number. Of the four statements,

demonstrates this property.
The identity property of multiplication states that there is a number 1, called the multiplicative identity, that can be multiplied by any number to obtain that number. Of the four statements,
demonstrates this property.
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Evaluate:

Evaluate:
By the order of operations, carry out the operations in parentheses first; since there is a multiplication and a subtraction present, carry them out in that order. Finally, carry out the remaining subtraction:




By the order of operations, carry out the operations in parentheses first; since there is a multiplication and a subtraction present, carry them out in that order. Finally, carry out the remaining subtraction:
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Raise
to the fourth power.
Raise to the fourth power.
To raise a negative number to an even-numbered power, raise its absolute value to that power:

To raise a negative number to an even-numbered power, raise its absolute value to that power:
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Evaluate:

Evaluate:
By the order of operations, carry out the operation in parentheses, which is the rightmost subtraction, then the multiplication, then the leftmost subtraction:




By the order of operations, carry out the operation in parentheses, which is the rightmost subtraction, then the multiplication, then the leftmost subtraction:
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Which of the following statements demonstrates the inverse property of multiplication?
Which of the following statements demonstrates the inverse property of multiplication?
The inverse property of multiplication states that for every real number, a number exists, called the multiplicative inverse, such that the number and its inverse have product 1. Of the statements given, only

demonstrates this property.
The inverse property of multiplication states that for every real number, a number exists, called the multiplicative inverse, such that the number and its inverse have product 1. Of the statements given, only
demonstrates this property.
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