What fraction is equivalent to 1/4?

Answer: 2/8 is equivalent to 1/4

Equivalent fractions are fractions that have different numerators and denominators but represent the same value or proportion of a whole. Finding equivalent fractions involves multiplying or dividing both the numerator and denominator by the same nonzero number.

Methods

Math Tutor Explanation Using Multiplication Method

You can create equivalent fractions by multiplying the numerator and denominator of a fraction by the same number.

Step 1: Choose a number to multiply both the numerator and denominator by, for example, 2

Step 2: Multiply the numerator (1) by 2 to get 2, and the denominator (4) by 2 to get 8

Math Tutor Explanation Using Division Method

When you have a fraction with numbers greater than 1 and 4 that are still multiples, you can divide both by their common factor to get back to 1/4.

Step 1: Take an equivalent fraction, such as 2/8

Step 2: Divide both the numerator and denominator by the same factor, in this case 2

Step 1:

Step 2:

Math Tutor suggests: Explore More on Equivalent Fractions

Want to understand equivalent fractions better? Check out these related questions and practice finding equivalent forms of different fractions.

FAQ on Equivalent Fractions

How do you know if two fractions are equivalent?

Two fractions are equivalent if they represent the same value, which you can confirm by cross-multiplication or simplifying both to the same form.

Can you provide another example of a fraction equivalent to 1/4?

Yes, 3/12 is also equivalent to 1/4.

Is 4/16 equivalent to 1/4?

Yes, because 4 divided by 4 is 1 and 16 divided by 4 is 4.

Why does multiplying the numerator and denominator by the same number work?

Multiplying by the same number scales both parts equally, so the ratio between the numerator and denominator remains the same.

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