Equivalent Fractions

Front

What is an equivalent fraction?

Back

An equivalent fraction is a fraction that represents the same value as another fraction, even though the numerator and denominator may be different. For example, 1/2 and 2/4 are equivalent fractions.

Front

How do you find equivalent fractions?

Back

To find equivalent fractions, you can multiply or divide both the numerator and the denominator of a fraction by the same non-zero number. For example, multiplying 1/3 by 2/2 gives you 2/6, which is equivalent to 1/3.

Front

What is the fraction of students in the fourth grade if there are 10 students and 6 are in the fourth grade?

Back

The fraction of students in the fourth grade is 6/10, which simplifies to 3/5.

Front

What does it mean for two fractions to be equal?

Back

Two fractions are equal if they represent the same part of a whole, meaning their values are the same when simplified.

Front

How can you determine if two fractions are equivalent?

Back

You can determine if two fractions are equivalent by cross-multiplying. If the cross-products are equal, the fractions are equivalent.

Front

What is the simplest form of a fraction?

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The simplest form of a fraction is when the numerator and denominator have no common factors other than 1. For example, 4/8 can be simplified to 1/2.

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What is the relationship between fractions and division?

Back

Fractions represent division. The numerator is divided by the denominator. For example, the fraction 3/4 represents 3 divided by 4.

Front

What is a mixed number?

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A mixed number is a whole number combined with a proper fraction. For example, 2 1/2 is a mixed number.

Front

How do you convert an improper fraction to a mixed number?

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To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder becomes the numerator of the proper fraction.

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What is the importance of understanding equivalent fractions?

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Understanding equivalent fractions is important for simplifying fractions, comparing fractions, and performing operations with fractions.