Reviewed by Phoebe Belza-Barrientos
What is equivalent to 1/3?
Answer: Equivalent fractions to 1/3 include 2/6, 3/9, 4/12, and more
Fractions are considered equivalent when they represent the same value, even if their numerators and denominators are different. The fraction 1/3 can be expressed in many different ways by multiplying both the numerator and denominator by the same number. Recognizing equivalent fractions is a key skill for understanding proportions, simplifying fractions, and working with ratios.
Methods
Math Tutor Explanation Using Multiplication Method
To find fractions equivalent to 1/3, multiply both the numerator and denominator by the same nonzero whole number. This preserves the value but changes the way the fraction looks.
Step 1: Choose a number (like 2, 3, or 4) to multiply both numerator and denominator
Step 2: Multiply 1 (numerator) × 2 = 2 and 3 (denominator) × 2 = 6 to get 2/6 as an equivalent fraction
Math Tutor Explanation Using Simplification Method
You can also identify equivalent fractions by simplifying or reducing other fractions to see if they match 1/3. This can be useful when comparing or checking if two fractions are equivalent.
Step 1: Take a fraction like 3/9 and divide both the numerator and denominator by a common factor (in this case, 3)
Step 2: 3 ÷ 3 = 1 and 9 ÷ 3 = 3, resulting in 1/3
Step 1:
Step 2:
Math Tutor suggests: Mastering Equivalent Fractions and Forms of 1/3
Explore more questions about equivalent fractions, especially those related to 1/3 and similar fractions, to deepen your understanding.
FAQ on Equivalent Fractions
How do I check if two fractions are equivalent?
Cross-multiply and compare: if the products are equal, the fractions are equivalent.
Can equivalent fractions look very different?
Yes, as long as their values are the same when simplified, they can look different.
Is 5/15 equivalent to 1/3?
Yes, because 5 divided by 5 is 1, and 15 divided by 5 is 3.
Why are equivalent fractions important?
They help in adding, subtracting, and comparing fractions, and are crucial for simplifying complex expressions.
Are there infinitely many equivalent fractions for a given fraction?
Yes, you can always multiply (or divide) numerator and denominator by the same nonzero number to create more.
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