Which fraction is not equal to 5/9?
A. 15/27
B. 30/54
C. 40/74
D. 55/99
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1
Step 1: Understand the problem. We need to determine which fraction is not equivalent to .
Step 2: Simplify each fraction option to see if it equals .
Step 3: Simplify by finding the greatest common divisor (GCD) of 15 and 27, and divide both the numerator and the denominator by this GCD.
Step 4: Simplify by finding the GCD of 30 and 54, and divide both the numerator and the denominator by this GCD.
Step 5: Simplify by finding the GCD of 40 and 74, and divide both the numerator and the denominator by this GCD.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Equivalent Fractions
Equivalent fractions are different fractions that represent the same value or proportion. For example, 1/2 is equivalent to 2/4 and 3/6. To determine if two fractions are equivalent, you can cross-multiply or simplify them to see if they yield the same simplest form.
Simplifying fractions involves reducing them to their lowest terms by dividing both the numerator and the denominator by their greatest common divisor (GCD). For instance, the fraction 30/54 can be simplified by dividing both numbers by 6, resulting in 5/9, which helps in comparing it with other fractions.
Cross-multiplication is a method used to compare two fractions by multiplying the numerator of one fraction by the denominator of the other. If the products are equal, the fractions are equivalent. This technique is particularly useful for quickly determining if a fraction is equal to another without simplifying.