Verification of Equivalent Fractions | Exploring Equivalent Fractions (2024)

FAQs

Verification of Equivalent Fractions | Exploring Equivalent Fractions? ›

A simple way to look at how to check for equivalent fractions is to do what is called “cross-multiply”, which means multiple the numerator of one fraction by the denominator of the other fraction. Then do the same thing in reverse. Now compare the two answers to see if they are equal.

To check whether a fraction is equivalent or not, we reduce the fractions to their lowest form. 30 / 54 ÷ 6 / 6 = 5 / 9. ∴ 5 / 9 and 30 / 54 are equivalent fractions as their value is the same irresepective of the numbers in numerator and denominator.

By making the denominators the same, we can evaluate if two fractions are equivalent. For example, find if 2/3 and 6/9 are equivalent. Multiply 2/3 by 3/3 to make the denominator equal to 9. Hence, by making the denominators the same, we can see, 2/3 and 6/9 are equivalent fractions.

Equivalent fractions have different numerators and denominators, but the same value. If you multiply or divide any fraction by a fractional form of 1 (i.e.: 2/2, 3/3, 4/4), the new fraction will be equivalent to the original fraction.

If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable. To check whether a more complex expression is equivalent to a simpler expression: Distribute any coefficients: a ( b x ± c ) = a b x ± a c ‍

A rule stating that if the numerator and denominator of a fraction are multiplied by the same nonzero number, the result is a fraction that is equivalent to the original fraction.

To find the equivalent fractions for any given fraction, multiply the numerator and the denominator by the same number. For example, to find an equivalent fraction of 3/4, multiply the numerator 3 and the denominator 4 by the same number, say, 2. Thus, 6/8 is an equivalent fraction of 3/4.

Dominoes are great for (one) naming fractions and (two) finding equivalent fractions. Students must first determine which side is the numerator and which side is the denominator (bigger). Then, they can find other dominoes that are equivalent fractions to the first, with bigger and smaller numbers!

Short Answer

The two fractions are equivalent if both of their numerator and denominator are equal.

To find equivalent fractions, we multiply the numerator and the denominator by the same number, so we need to multiply the denominator of 7 by a number that will give us 21. Since 3 multiplied by 7 gives us 21, we can find an equivalent fraction by multiplying both the numerator and denominator by 3.

How do you verify whether the following pairs are equivalent fractions? ›

How to verify equivalent fractions? If two fractions are equivalent, then the product of one's numerator and the other's denominator is equal to the product of one's denominator and the other numerator. 1 × 12 = 3 × 4. So, 1/3 and 4/12 are equivalent fractions.

Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >,=, or <, and justify the conclusions, e.g., by using a visual fraction model.