Fourth Grade Number & Operations - Fractions

Comparing fractions, multiplying fractions by whole numbers and converting fractions to decimals.  Just click on the blue links to display or print pdfs.
Standards

Practice Pages
Extend understanding of fraction equivalence and ordering - Cluster 1

Standard 4.NF.1:  1 Explain why a fraction a/b is equivalent to a fraction (n x a)/(n x b) by using
visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.

Equivalent Fraction Bars

Answers
4.NF.1.a


Color shapes and name fraction

Answers 4.NF.1.b

Standard 4.NF.2:  Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. 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.

Compare models with equal denominators

Answers 4.NF.2.a



Find common denominators

Answers 4.NF.2.b

Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers - Cluster 2

Standard 4.NF.3:  Understand a fraction a/b with a > 1 as a sum of fractions 1/b.



Add fractions of objects

Answers 4.NF.3.a


Add/Subtract mixed numbers

Answers 4.NF.3.b

4.NF.4: Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.



Models for multiplying fractions

Answers 4.NF.4.a


Comparing fraction multiplication

Answers 4.NF.4.b

Understand decimal notati9on for fractions, and compare decimal fractions - Cluster 3

4.NF.5:  Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. For example, express 3/10 as 30/100, and add 3/10  + 4/100 = 34/100.

Add fractions with 10 in denominator

Answers 4.NF.5.a



Convert and add

Answers 4.NF.5.b

4.NF.6: Use decimal notation for fractions with denominators 10 or 100. For example, rewrite
0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line
diagram.

Fraction/Decimal place value to 10

Answers 4.NF.6.a


Decimal/Fraction measurements

Answers 4.NF.6.b

4.NF.7: Compare two decimals to hundredths by reasoning about their size. Recognize that
comparisons are valid only when the two decimals refer to the same whole. Record
the results of comparisons with the symbols >, =, or  <, and justify the conclusions, e.g., by using a visual model.

Use model to identify decimal to 0.9

Answers 4.Nf.7.a


Compare decimal to model up to 0.99 B

Answers 4.NF.7.b