5th Grade Fraction Review Worksheet

Are your fifth-grade students in need of a helpful fraction review? Look no further! We have created a comprehensive worksheet packed with engaging exercises that allow students to practice and reinforce their fraction skills. With a focus on important concepts such as comparing, adding, subtracting, and multiplying fractions, this worksheet is designed to help students solidify their understanding of this crucial mathematical topic.

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What is a fraction?

A fraction is a numerical quantity that represents a part of a whole. It consists of a numerator, which is the top number that represents the part being considered, and a denominator, which is the bottom number that represents the total number of parts in the whole. Fractions are often written as a numerator over a denominator, such as 1/2 or 3/4, and can be used to express quantities that are not whole numbers.

How do you identify the numerator and denominator in a fraction?

In a fraction, the numerator is the top number that represents the part of the whole, while the denominator is the bottom number that represents the total number of parts that make up the whole. The numerator is written above the fraction line, and the denominator is written below the fraction line.

What is an equivalent fraction and how do you find one?

An equivalent fraction is a fraction that represents the same value as the original fraction but is expressed in different terms. To find an equivalent fraction, you can multiply or divide both the numerator and denominator of the original fraction by the same non-zero number. This will result in a fraction that has the same overall value but is written in a different form.

How do you compare two fractions using the symbols <, >, or =?

To compare two fractions, you can cross-multiply to find a common denominator, then compare the numerators. If the fractions have the same denominator, you can compare their numerators directly. If the numerator of the first fraction multiplied by the denominator of the second fraction is greater than the numerator of the second fraction multiplied by the denominator of the first fraction, then the first fraction is greater. If the reverse is true, the second fraction is greater. If the products are equal, then the fractions are equal.

What is a mixed number and how is it different from an improper fraction?

A mixed number consists of a whole number and a fraction combined, such as 2 and 1/2. In contrast, an improper fraction has a numerator that is greater than or equal to the denominator, like 5/3. The main difference is that a mixed number represents a whole quantity and a fractional part combined, while an improper fraction represents a quantity that is greater than one whole unit.

How do you add or subtract fractions with like denominators?

To add or subtract fractions with like denominators, you simply add or subtract the numerators while keeping the common denominator the same. For example, if you have 1/4 + 2/4, you add the numerators 1+2 to get 3, and keep the denominator 4 the same to get 3/4. Similarly, if you have 5/6 - 2/6, you subtract the numerators 5-2 to get 3, and keep the denominator 6 the same to get 3/6, which can be further simplified to 1/2 by dividing both numerator and denominator by 3.

How do you add or subtract fractions with unlike denominators?

To add or subtract fractions with unlike denominators, you must first find a common denominator for the fractions. This involves finding the least common multiple (LCM) of the denominators. Once you have a common denominator, you can then rewrite each fraction with that common denominator and perform the addition or subtraction operation on the numerators. Simplify the result if needed by reducing the fraction to its simplest form.

How do you multiply a whole number by a fraction?

To multiply a whole number by a fraction, you simply multiply the whole number by the numerator of the fraction and keep the denominator as it is. For example, if you want to multiply 4 by 1/3, you would calculate 4 * 1 = 4 and keep the denominator 3, resulting in the answer 4/3.

How do you divide a whole number by a fraction?

To divide a whole number by a fraction, you can convert the whole number to a fraction by putting it over 1, then multiply the whole number fraction by the reciprocal of the fraction you are dividing by. This is equivalent to multiplying the whole number by the denominator of the fraction and then dividing the result by the numerator of the fraction. The final answer will be in the form of a fraction or a mixed number.

How do you convert a fraction to a decimal and vice versa?

To convert a fraction to a decimal, you divide the numerator by the denominator. For example, to convert 3/4 to a decimal, you divide 3 by 4 to get 0.75. To convert a decimal to a fraction, you write the decimal as a fraction with the decimal as the numerator and a power of 10 as the denominator. For instance, 0.5 can be written as 5/10, which simplifies to 1/2.