Adding and Subtracting Fractions

Adding and Subtracting Fractions

Like denominators and unlike denominators

The Basics

• Numerator: Top of fraction (dividend)

• Denominator: Bottom of fraction (divisor)

Open Ended

Describe where the denominator is in a fraction?

Describir donde el denominador es en una fracción?

Multiple Choice

What is the denominator?

¿Cuál es el denominador?

 $\frac{3}{5}$  

• 3

• 5

Multiple Choice

In which problem is the numerator greater than 5?

¿Cuál es el denominador mas grande que 5?

• $\frac{3}{5}$

• 4

• $\frac{7}{3}$

• $\frac{1}{8}$

Add Fractions with Like Denominators

• If denominators are the same...

• Add the numerators

• Denominator does not change

Multiple Choice

 $\frac{7}{9}+\frac{1}{9}=$  

•  $\frac{8}{9}$  

•  $\frac{6}{9}$  

•  $\frac{8}{18}$  

•  $\frac{7}{81}$  

Multiple Choice

 $\frac{9}{15}+\frac{4}{15}$  

•  $\frac{5}{15}$  

•  $\frac{1}{5}$  

•  $\frac{13}{15}$  

•  $\frac{13}{30}$  

Subtract Fractions with Like Denominators

• If denominators are the same...

• Subtract the numerators

• Denominator does not change

Multiple Choice

 $\frac{12}{17}-\frac{5}{17}$  

•  $\frac{17}{17}$  

•  $\frac{7}{17}$  

•  $\frac{6}{17}$  

• 1

• 0

Why you need like denominators

• 1/2 + 1/4 is NOT 2/6 (or 2/4, or 2/2)

• You need to obtain like denominators to add or subtract fractions ^ Es necesario obtener como denominadores para sumar o restar fracciones

Open Ended

 $\frac{2}{7}+\frac{3}{5}=\frac{5}{12}$  

Describe why the problem is wrong?
Describir por qué el problema es un error?



Finding common denominators (multiples)

• Identify the denominators • Identificar los denominadores

• Write or think of the multiples for each number • Escribe los multiplicars

• Find the Least Common Denominator • Busque el denomindor en común

Multiple Choice

 $\frac{1}{8}-\frac{1}{6}$  

What is the Least Common Denominator?

• 8

• 6

• 48

• 14

• 24

Multiple Choice

 $\frac{3}{5}+\frac{10}{15}$  

What is the Least Common Denominator?

• 5

• 15

• 75

• 20

• 30

Unlike Denominators

• Find LCM of denominators * Busque LCM

• Multiply numerator and denominator of each fraction by the multiple

• Write the equivalent fractions * Escribe fracciones equivalentes (1/2=5/10)

• Add or subtract the numerators * Agregar o restar las numeradores

Multiple Choice

• 1/12
• 1
• 2/35
• 23/25

Multiple Choice

What is the sum of these fractions?

• 4/5
• 3/20
• 17/20
• 4/20

Match

Match the following

• $$\frac{3}{4}$$  

• $$\frac{1}{4}$$  

• $$\frac{1}{5}$$  

• $$\frac{1}{10}$$  

• $$\frac{1}{2}$$  

9/12

2/8

3/15

3/30

5/10

• 9/12

• 2/8

• 3/15

• 3/30

• 5/10