Year 06 : Function Machines & Operations with Fraction

Addition and subtraction of mixed numbers

How do we add/subtract mixed numbers

• 1) convert both to like AND improper fractions and add/subtract numerator before simplifying

• Get ready some writing materials

convert both to like AND improper fractions and add/subtract numerator before simplifying

leave as mixed number but convert to like fraction and add/subtract whole numbers to whole numbers and numerator of fractions to numerators

Multiple Choice

Which of the following improper fractions is NOT equivalent to  $$\frac{12}{5}$$  ?

• $$\frac{48}{20}$$  

• $$\frac{24}{10}$$  

• $$\frac{36}{15}$$  

• $$\frac{60}{20}$$  

Multiple Select

$$2\ \frac{8}{10\ }$$ + $$2\ \frac{2}{5}$$ = 

• $$4\ \frac{10}{15}$$  

• $$4\ \frac{8}{10}$$  

• $$5\ \frac{1}{5}$$  

• $$4\ \frac{12}{10}$$  

Multiple Choice

A recipe calls for 6 $$\frac{5}{12}$$  cups of red peppers and 3 $$\frac{2}{3}$$  cups of green peppers. What is the total number of cups of peppers needed for the recipe in all? (Answer in simplest form)

• 10  $$\frac{1}{12}$$  cups

• 2  $$\frac{1}{2}$$  cups

• 10  $$\frac{7}{12}$$  cups

• 9  $$\frac{1}{6}$$  cups

Multiple Choice

$$11\ \frac{9}{11}+\ \frac{3}{4\ }=\$$  

• $$11\ \frac{11}{44}$$  

• $$11\ \frac{25}{44}$$  

• $$12\ \frac{25}{44}$$  

• $$13\ \frac{3}{11}$$  

Multiple Choice

$$10\ \frac{2}{3\ }\ -\ 4\ \frac{2}{5}=\$$  

• $$5\ \frac{1}{5}$$  

• $$6\ \frac{1}{3}$$  

• $$5\ \frac{4}{15}$$  

• $$6\ \frac{4}{15}$$  

Multiple Choice

5 $$-$$   2 $$\frac{3}{8}$$  

• 2 $$\frac{5}{8}$$  

• 3

• 3 $$\frac{1}{8}$$  

• 2 $$\frac{3}{8}$$  

Multiple Choice

$$20\ \frac{1}{10}-\ 3\ \frac{2}{5}\ =\$$  

• $$16\ \frac{4}{5}$$  

• $$16\ \frac{7}{10}$$  

• $$17\ \frac{1}{10}$$  

• $$17\ \frac{7}{10}$$  

Multiple Choice

Mason needs  $$2\frac{1}{2}$$  bags of cement to make concrete. He already has $$1\frac{3}{4}$$  bags. How many more bags of cement does he need?

• $$\frac{3}{4}$$  

• $$\frac{1}{8}$$  

• $$\frac{1}{2}$$  

• $$\frac{1}{4}$$  

Multiple Choice

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Function Machines
A function machine takes an Input, applies a series of
mathematical operations to it, and then produces a result
as an Output

10

60

55

Multiple Choice

Find the output...

• 22

• 21

• 23

• 16

Multiple Choice

What is the output when the input is 4?

• 3

• 2

• 1

• 0

Multiple Choice

What is the output when the input is 10?

• 9

• 22

• 23

• 13

Multiple Choice

What is the output when the input is 15?

• 38

• 24

• 37

• -4

Multiple Choice

Here is a function machine. What is the output when the input is 125

• 88

• 92

• 112

• 102

Multiple Choice

What is the input when the output is 2?

• 1

• 4

• 2

• 3

Multiple Choice

What is the input when the output is 19?

• 5

• 80

• 72

• 4.5

Multiple Choice

What is the input when the output is 26?

• 10

• 11

• 12

• 13

Multiple Choice

Select the missing number

• 5

• 14

• 16

• 18

Multiple Choice

What is the input when the output is 26?

• 10

• 11

• 12

• 13

Multiple Choice

Select the missing number

• 6

• 7

• 8

• 9