Videos and solutions to help Grade 5 students learn how to make equivalent fractions with sums of fractions with like denominators.

Common Core Standards: 4.NF.1, 4.NF.3c, 4.NF.3d

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Common Core For Grade 5

New York State Common Core Math Grade 5, Module 3, Lesson 2

Lesson 2 Application Problem

Mr. Hopkins has a 1 meter wire he is using to make clocks. Each fourth meter is marked off with 5 smaller equal lengths. If Mr. Hopkins bends the wire at ¾ meter, what fraction of the marks is that?

Lesson 2 Concept Development

Problem 1

1/3 + 1/3

1 third + 1 third = 2 thirds

Problem 2

3/8 + 3/8 + 1/8

3 eighths + 3 eighths + 1 eighth

Problem 3

6/2 = 2/2 + 2/2 + 2/2 = 1 + 1 + 1 = 3

6 halves = 3 x 2 halves = 3 ones = 3

Problem 4

8/5 = 5/5 + 3/5 = 1 3/5

8 fifths = 5 fifths + 3 fifths = 1 and 3 fifths

Problem 5

7/3 = 6/3 + 1/3 = 2 1/3

7 thirds = 6 thirds + 1 third = 2 and 1 third. Problem 1

1/3 + 1/3

1 third + 1 third = 2 thirds

Problem 2

3/8 + 3/8 + 1/8

3 eighths + 3 eighths + 1 eighth

Lesson 2 Problem Set

1) Show each expression on a number line. Solve.

a) 2/5 + 1/5

b) 1/3 + 1/3 + 1/3

c) 3/10 + 3/10 + 3/10

d) 2 x 3/4 + 1/4

2) Express each fraction as the sum of two or three equal fractional parts. Rewrite each as a multiplication equation. Show letter a) on a number line.

a) 6/7

b) 9/2

c) 12/10

d) 27/5

3) Express each of the following as the sum of a whole number and a fraction. Show c) and d) on number lines.

a) 9/7

b) 9/2

c) 32/7

d) 24/9 Lesson 2 Homework

This video demonstrates how to add fractions (with like denominators) using a number line. It also discusses converting addition expressions into equations using multiplication.

1) Show each expression on a number line. Solve.

a) 4/9 + 1/9

b) 1/4 + 1/4 + 1/4 + 1/4

2) Express each fraction as the sum of two or three equal fractional parts. Rewrite each as a multiplication equation. Show letter a on a number line.

a) 6/11

3) Express each of the following as the sum of a whole number and a fraction. Show c) and d) on number lines.

a) 9/5

Add Fractions with Like Denominator.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Common Core Standards: 4.NF.1, 4.NF.3c, 4.NF.3d

Related Topics:

Lesson Plans and Worksheets for Grade 5

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 5

Common Core For Grade 5

New York State Common Core Math Grade 5, Module 3, Lesson 2

Lesson 2 Application Problem

Mr. Hopkins has a 1 meter wire he is using to make clocks. Each fourth meter is marked off with 5 smaller equal lengths. If Mr. Hopkins bends the wire at ¾ meter, what fraction of the marks is that?

Lesson 2 Concept Development

Problem 1

1/3 + 1/3

1 third + 1 third = 2 thirds

Problem 2

3/8 + 3/8 + 1/8

3 eighths + 3 eighths + 1 eighth

Problem 3

6/2 = 2/2 + 2/2 + 2/2 = 1 + 1 + 1 = 3

6 halves = 3 x 2 halves = 3 ones = 3

Problem 4

8/5 = 5/5 + 3/5 = 1 3/5

8 fifths = 5 fifths + 3 fifths = 1 and 3 fifths

Problem 5

7/3 = 6/3 + 1/3 = 2 1/3

7 thirds = 6 thirds + 1 third = 2 and 1 third. Problem 1

1/3 + 1/3

1 third + 1 third = 2 thirds

Problem 2

3/8 + 3/8 + 1/8

3 eighths + 3 eighths + 1 eighth

1) Show each expression on a number line. Solve.

a) 2/5 + 1/5

b) 1/3 + 1/3 + 1/3

c) 3/10 + 3/10 + 3/10

d) 2 x 3/4 + 1/4

2) Express each fraction as the sum of two or three equal fractional parts. Rewrite each as a multiplication equation. Show letter a) on a number line.

a) 6/7

b) 9/2

c) 12/10

d) 27/5

3) Express each of the following as the sum of a whole number and a fraction. Show c) and d) on number lines.

a) 9/7

b) 9/2

c) 32/7

d) 24/9 Lesson 2 Homework

This video demonstrates how to add fractions (with like denominators) using a number line. It also discusses converting addition expressions into equations using multiplication.

1) Show each expression on a number line. Solve.

a) 4/9 + 1/9

b) 1/4 + 1/4 + 1/4 + 1/4

2) Express each fraction as the sum of two or three equal fractional parts. Rewrite each as a multiplication equation. Show letter a on a number line.

a) 6/11

3) Express each of the following as the sum of a whole number and a fraction. Show c) and d) on number lines.

a) 9/5

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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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