equivalent fraction

USAGE SUMMARY

The phrase "equivalent fraction" is correct and usable in written English.
It can be used in mathematical contexts when discussing fractions that represent the same value despite having different numerators and denominators. Example: "One-half and two-fourths are equivalent fractions because they represent the same quantity."

✓ Grammatically correct

Science

News & Media

Wiki

Human-verified examples from authoritative sources

Exact Expressions

29 human-written examples

The results have been presented as isotherms of internal mobilities of Cs+ and Nd3+ ions on NdCl3 equivalent fraction (yNd).

Electrochimica Acta

They needed to find the least common multiple of the denominators, rewrite each number as an equivalent fraction, add the numerators, find the greatest common factor, then reduce the final answer — not just find the greatest common factor and reduce.

The New York Times

The CO group of polymer electrolyte shows strong interaction with Li+ ion and a limit value of 95% "Li+ bonded" CO is approached in the polymer electrolyte system when the Li+ ion equivalent fraction is about 0.28.

Polymer

Because the students were familiar with the basic principles — finding the least common multiple of the denominators, rewriting each number as an equivalent fraction, adding the numerators, finding the greatest common factor, then reducing the final answer — they quickly caught on when she asked them to add three fractions.

The New York Times

Then there are the losses I would suffer as a working mother: half a year of forgone wages while on maternity leave and earning 73 percent of what men earn instead of 90 percent like nonmothers (or in my case, the equivalent fraction of my current salary) for the remainder of my career, according to a Columbia University study on the motherhood wage gap.

The New York Times

In PKQuest, either Tclrliver or the equivalent Fraction Liver Clearance can be input.

BMC Anesthesiology

Human-verified similar examples from authoritative sources

Similar Expressions

31 human-written examples

Multiplication and division work for obtaining equivalent fractions because multiplying and dividing by fractional forms of the number 1 (2/2, 3/3, etc).

WikiHow

It then proceeds to show the relationship between percentages and their equivalent fractions and decimals.

Yale University

Ms. Loveland, in her seventh year of teaching, has struggled to get her students to understand the concept of equivalent fractions.

The New York Times

amount of equivalent fractions that can be found because there is an infinite amount of numbers to multiply by. is equivalent to.

BBC

Pellets were adjusted to represent cell equivalent fractions of the starting material.

Plosone

Expert writing Tips

Best practice

When teaching fractions, use visual aids like pie charts or fraction bars to illustrate that "equivalent fractions" represent the same portion of a whole, even with different numbers.

Common error

Avoid assuming that two fractions are not "equivalent" just because they look different; always simplify them to their lowest terms to check if they represent the same value.

Linguistic Context

The phrase "equivalent fraction" functions as a noun phrase, where "equivalent" modifies the noun "fraction". According to Ludwig AI, the phrase is grammatically correct and widely used. It's used to describe fractions that, despite having different numerators and denominators, represent the same value.

Expression frequency: Common

Frequent in

Wiki

33%

Science

33%

News & Media

33%

Less common in

Academia

0%

Formal & Business

0%

Reference

0%

Ludwig's WRAP-UP

In summary, "equivalent fraction" is a grammatically sound and frequently used phrase across various fields, including science, news, and general education. As Ludwig AI confirms, the phrase is correct and well-established. Its primary function is to communicate a key mathematical concept: that fractions with different appearances can represent the same value. When writing about fractions, remember to use visual aids and emphasize simplification to avoid misunderstandings. By understanding and applying these principles, you can effectively use "equivalent fractions" in your writing and explanations.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

equal fraction

Replaces "equivalent" with "equal", emphasizing the identical value represented by the fraction.

equal fraction with different numerator and denominator

Describes an "equivalent fraction" providing more descriptive details.

fraction with the same value

Uses a descriptive phrase to define what makes the fractions "equivalent".

proportionally equal fraction

Adds "proportionally" to emphasize the proportional equality of the fractions.

fraction representing the same quantity

Focuses on the idea that different fractions can represent the same amount.

equal ratio

Shifts the focus from fractions to ratios, highlighting the proportional relationship.

mathematically identical fraction

Emphasizes mathematical precision in the equivalence.

fraction of identical magnitude

Highlights that fractions have identical sizes or amounts.

fraction in simplest form

Points to the reduced version of the equivalent fraction, which conveys the identical value.

reduced fraction

Focuses on the simplified form representing the same value.

FAQs

How can I easily find an "equivalent fraction"?

To find an "equivalent fraction", multiply or divide both the numerator and the denominator of the original fraction by the same non-zero number. For example, 1/2 is "equal to" 2/4 because both the numerator and denominator were multiplied by 2.

What does it mean for two fractions to be "equivalent"?

Two fractions are considered "equivalent" if they represent the same value, even though they may have different numerators and denominators. For instance, 3/6 and 1/2 are "mathematically identical", making them "equivalent fractions".

Are "equivalent fractions" always interchangeable in equations?

Yes, "equivalent fractions" can always be interchanged in equations without changing the equation's value. This is because they represent the same quantity. For example, replacing 2/4 with its "simplified fraction" 1/2 will not alter the result of an addition or subtraction operation.

Why is it important to understand "equivalent fractions"?

Understanding "equivalent fractions" is crucial for performing operations like addition, subtraction, and comparison of fractions. It allows you to manipulate fractions into a common denominator, making calculations easier. It also assists in simplifying fractions to their most "basic form fraction".