3rd Grade Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number). For example, in the fraction \(\frac{1}{2}\), 1 is the part and 2 is the whole.

Front

What does the numerator in a fraction represent?

Back

The numerator is the top number in a fraction. It represents how many parts of the whole are being considered. For example, in \(\frac{3}{4}\), the numerator 3 indicates that 3 parts are being counted.

Front

What does the denominator in a fraction represent?

Back

The denominator is the bottom number in a fraction. It represents the total number of equal parts the whole is divided into. For example, in \(\frac{3}{4}\), the denominator 4 indicates that the whole is divided into 4 equal parts.

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How do you compare two fractions?

Back

To compare two fractions, you can find a common denominator or convert them to decimals. For example, to compare \(\frac{1}{2}\) and \(\frac{3}{4}\), you can convert them to \(\frac{2}{4}\) and \(\frac{3}{4}\), then compare the numerators.

Front

What is an equivalent fraction?

Back

Equivalent fractions are different fractions that represent the same value. For example, \(\frac{1}{2}\) is equivalent to \(\frac{2}{4}\) because both represent the same part of a whole.

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What is a mixed number?

Back

A mixed number is a whole number combined with a fraction. For example, 1 \(\frac{1}{2}\) is a mixed number, which means 1 whole and 1 half.

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What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator. For example, \(\frac{5}{4}\) is an improper fraction because 5 is greater than 4.

Front

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

Back

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 new numerator over the original denominator. For example, \(\frac{5}{4}\) becomes 1 \(\frac{1}{4}\).

Front

What is a fraction of a set?

Back

A fraction of a set refers to how many parts of a whole set are being considered. For example, if there are 12 apples and 3 are red, then \(\frac{3}{12}\) represents the fraction of red apples in the set.

Front

How do you add fractions with the same denominator?

Back

To add fractions with the same denominator, simply add the numerators and keep the denominator the same. For example, \(\frac{1}{4} + \frac{2}{4} = \frac{3}{4}\).