Podcast
Questions and Answers
Which method is described for determining if two fractions are equivalent?
Which method is described for determining if two fractions are equivalent?
- Dividing both fractions by their greatest common divisor.
- Comparing the decimal representations.
- Adding the numerators and denominators.
- Cross multiplication. (correct)
If two fractions $\frac{a}{b}$ and $\frac{c}{d}$ are equivalent, which of the following statements must be true?
If two fractions $\frac{a}{b}$ and $\frac{c}{d}$ are equivalent, which of the following statements must be true?
- $a \times c = b \times d$
- $a \times d = b \times c$ (correct)
- $a + b = c + d$
- $a - b = c - d$
What operation(s) can be performed on the numerator and denominator of a fraction to obtain an equivalent fraction?
What operation(s) can be performed on the numerator and denominator of a fraction to obtain an equivalent fraction?
- Multiplication or division by the same non-zero number. (correct)
- Addition or subtraction by the same number.
- Only addition.
- Only multiplication.
Which of the following fractions is equivalent to $\frac{12}{18}$?
Which of the following fractions is equivalent to $\frac{12}{18}$?
If $\frac{5}{x}$ is equivalent to $\frac{15}{24}$, what is the value of x?
If $\frac{5}{x}$ is equivalent to $\frac{15}{24}$, what is the value of x?
Which of the following pairs of fractions are equivalent?
Which of the following pairs of fractions are equivalent?
What number should replace the question mark to make the fractions equivalent: $\frac{3}{5} = \frac{?}{20}$?
What number should replace the question mark to make the fractions equivalent: $\frac{3}{5} = \frac{?}{20}$?
Which fraction is NOT equivalent to $\frac{1}{2}$?
Which fraction is NOT equivalent to $\frac{1}{2}$?
If you multiply the numerator of a fraction by 3, what must you do to the denominator to create an equivalent fraction?
If you multiply the numerator of a fraction by 3, what must you do to the denominator to create an equivalent fraction?
Which value for 'x' makes the equation true? $\frac{x}{9} = \frac{2}{3}$
Which value for 'x' makes the equation true? $\frac{x}{9} = \frac{2}{3}$
If $\frac{a}{b} = \frac{c}{d}$, then what is the value of $\frac{a+b}{b}$?
If $\frac{a}{b} = \frac{c}{d}$, then what is the value of $\frac{a+b}{b}$?
A recipe calls for $\frac{2}{3}$ cup of sugar. If you only want to make half of the recipe, how much sugar do you need?
A recipe calls for $\frac{2}{3}$ cup of sugar. If you only want to make half of the recipe, how much sugar do you need?
What is the missing number that makes these fractions equivalent? $\frac{3}{7} = \frac{9}{?}$
What is the missing number that makes these fractions equivalent? $\frac{3}{7} = \frac{9}{?}$
Which of these fractions when simplified is equivalent to $\frac{5}{8}$?
Which of these fractions when simplified is equivalent to $\frac{5}{8}$?
What happens to the value of a fraction when both the numerator and denominator are doubled?
What happens to the value of a fraction when both the numerator and denominator are doubled?
Select the pair of equivalent fractions:
Select the pair of equivalent fractions:
Solve for the missing value: $\frac{4}{5} = \frac{x}{25}$
Solve for the missing value: $\frac{4}{5} = \frac{x}{25}$
Which of the following fractions cannot be simplified to $\frac{1}{3}$?
Which of the following fractions cannot be simplified to $\frac{1}{3}$?
If $\frac{2}{x} = \frac{6}{15}$, then x=?
If $\frac{2}{x} = \frac{6}{15}$, then x=?
Determine the multiplier that proves that $\frac{4}{7}$ is equivalent to $\frac{12}{21}$
Determine the multiplier that proves that $\frac{4}{7}$ is equivalent to $\frac{12}{21}$
Flashcards
Equivalent Fractions
Equivalent Fractions
Fractions that represent the same value, even though they may look different.
Cross Products Method
Cross Products Method
A method to check if two fractions are equivalent by multiplying the numerator of one fraction by the denominator of the other.
Numerator
Numerator
The top number in a fraction; represents how many parts of a whole are taken.
Denominator
Denominator
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Multiplying Fractions
Multiplying Fractions
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Dividing Fractions
Dividing Fractions
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Study Notes
- These notes cover equivalent fractions as well as how to determine and produce them.
Equivalent Fractions
- Equivalent fractions are checked by cross multiplication.
- To check if two fractions are equivalent, multiply the numerator of the first fraction by the denominator of the second fraction, and vice versa.
- If the results of both multiplications are the same, the fractions are equivalent.
- If the results are different, the fractions are not equivalent.
Generating Equivalent Fractions
- Equivalent fractions can be obtained by multiplying or dividing both the numerator and the denominator by the same number, provided that the calculations are possible.
- Multiply or divide the numerator and denominator by the indicated number to find the equivalent fraction.
- Identify the missing numbers needed to make equivalent fractions.
- Create an equivalent fraction by multiplying or dividing the numerator and the denominator by 2, 3, or 5, based on the given operation (multiplication or division).
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