Equivalent Fractions Calculator

Equivalent Fractions Calculator multiplies the numerator as well as the denominator of the given fraction by 2, 3, and 4 to display the corresponding equivalent fractions.

What Is Equivalent Fractions Calculator?

Equivalent Fractions Calculator is an online tool that helps to calculate the first three equivalent fractions of any given fraction. Equivalent fractions are used to represent the same value. To use the equivalent fraction calculator, enter the values in the given input boxes.

Equivalent Fractions Calculator

Note: Equivalent fractions of any undefined fraction will also have undefined values. For example, 2/0, 4/0, 6/0, etc. are undefined values.

How to Use the Equivalent Fractions Calculator?

Follow these simple steps to find the equivalent fractions of a given fraction using the online equivalent fractions calculator.

• Step 1: Go to Cuemath's online equivalent fractions calculator.
• Step 2: Enter the numerator and denominator of the fraction in the input boxes.
• Step 3: Click on "Find" to find the equivalent fractions.
• Step 4: Click on "Reset" to clear the fields and enter new values.

How Does Equivalent Fractions Calculator Work?

Any number that can be expressed in the form of a/b is known as a fraction. Here, a is called the numerator, and b is known as the denominator. Equivalent fractions can be defined as fractions that might have a different numerator and denominator but represent that same value. On simplifying equivalent fractions, they get reduced to the same value. The steps to find the equivalent fractions of a given fraction are as follows:

• Multiply the denominator of the given fraction by some arbitrary number x.
• Multiply the numerator by the same number x.
• This will give the equivalent fraction of the given fraction.
• By substituting x with different numeric values such as 2, 3, 5, etc., multiple equivalent fractions can be determined.

There are 4 different methods to check whether the given fractions are equivalent or not. These are:

• Making the denominators the same by taking their LCM.
• Finding the decimal forms of the given fractions.
• Using the cross-multiplication method.
• Employing the visual or graphical method.

Solved Examples on Equivalent Fractions

Example 1: Find three equivalent fractions of 3/5 and verify the result using the online equivalent fractions calculator.

Solution:

To get the equivalent fractions of a given fraction, we multiply its numerator and denominator by the same number.

• So, to get the first equivalent fraction, multiply 3/5 by 2/2. (3/5 × 2/2 = 6/10)
• To get the second equivalent fraction, multiply 3/5 by 3/3. (3/5 × 3/3 = 9/15)
• To get the third equivalent fraction, multiply 3/5 by 4/4. (3/5 × 4/4 = 12/20)

Therefore, 6/10, 9/15, and 12/20 are the equivalent fractions of 3/5.

Example 2: Find three equivalent fractions of -14/3 and verify the result using the online equivalent fractions calculator.

Solution:

To get the equivalent fractions of a given fraction, we multiply its numerator and denominator by the same number.

• So, to get the first equivalent fraction, multiply -14/3 by 2/2. (-14/3 × 2/2 = -28/6)
• To get the second equivalent fraction, multiply -14/3 by 3/3. (-14/3 × 3/3 = -42/9)
• To get the third equivalent fraction, multiply -14/3 by 4/4. (-14/3 × 4/4 = -56/12)

Therefore, -28/6, -42/9, and -56/12 are the equivalent fractions of -14/3.

Now, use the equivalent fractions calculator to find the equivalent fractions of:

• -4/7
• 11/3

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