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 