Addition of fractions.

 Lesson 10 

Addition of fractions

Objective: To compare and order fractional numbers through various interpretations, resources, and representations.

Keywords: Fractions, numerator, denominator, addition, homogeneous and heterogeneous fractions. 

Vocabulary

English

Spanish

 

 

 

1

Add

Sumar

2

Addition

Suma

3

Adding

Sumar

4

Crosswise (multiply in crosswise)

En cruz (multiplicar en cruz)

5

Denominator

Denominador

6

Different

Diferente

6

Equal

Igual

7

Each

Cada

8

Easy

Fácil

9

Five twenties (5/20)

Cinco veinteavos

10

Find

Encontrar

11

Homogeneous

Homogénea

12

Heterogeneous

Heterogénea

13

Identify

Identificar

14

Keep

Mantener

15

Least common multiple (LCM)

Mínimo común múltiplo (mcm)

16

Must

Deber

17

Numerator

Numerador

18

On the top

En la parte superior

19

One half (1/2)

Un medio

19

One third (1/3)

Un tercio

20

Proper

Propia

21

Read

Leer

22

Smaller

Mas pequeño

23

Simplifying

Simplificación

24

Same

Mismo

25

Take

Tomar

26

There is, there are

Hay

27

Through

A través de, por medio de

28

Two fifths (2/5)

Dos quintos

29

Whole number

Numero entero

Lesson Plan Nº10 - English version 

Lesson Plan Nº10 - Spanish version


Let’s learn about: Addition of fractions.


For adding fractions, it is important to know that there are two types of fractions: Homogeneous and Heterogeneous

Homogeneous Fractions

Fractions are homogeneous when they have the same denominator.

Example: 

Heterogeneous Fractions

Fractions are heterogeneous when they have a different denominator.

Example


For adding fractions, it is important to identify the type of the fraction. Pay attention to these examples:

Addition of Homogeneous Fractions

To add homogeneous fractions, we add the numerators and keep the same denominator.





Addition of Heterogeneous Fractions

To add heterogeneous fractions, you must follow these steps.

Example

Step Nº 1: Take the denominators, and find the least common multiple (L.C.M).



The least common multiple of 3 and 5 is 15.  We take this number and write the new denominator.


Step Nº 2: Multiply the numerator with the denominator crosswise.

Step Nº 3: Add the numerators and keep the denominator.


And, this is the answer:

Let’s watch the videos!

Video Nº1- Addition of homogeneous fractions.


Video Nº2- Addition of heterogeneous fractions.


Let’s practice! 

Activity Nº1 
Solve the following additions, choose the correct option.

 

                       Activity Nº 2 

Watch the following additions and find the answer by matching each fraction with its pair.


Activity Nº 3 
Reduce the fractions to the common denominator. choose the correct option.