ADDITION AND SUBTRACTION OF FRACTIONS AND DECIMAL

HELLO, WELCOME BACK TO CLASS

 

Like Fractions are fractions with the same denominator.

 

Example 1: Pablo spent 3/5 of an hour on a jigsaw puzzle. Conrad spent 1/5 of an hour on the puzzle. How much time did they spend working on the puzzle in all?

You need to add 3/5 and 1/5.

 

Note this: To add fractions with the same denominators, add the numerators and keep the same denominator.

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Example 2: Liliana jogged 5/8 of a mile on Monday and 3/8 of a mile on Tuesday. How much farther did she jog on Monday?

You need to subtract 5/and 3/8.

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Add and Subtract Mixed Numbers.

 

Example 3: Tim is painting a backdrop for the school play. He mixed 22/4 gallons of blue paint and 11/4 gallons of red paint to make dark purple. How many gallons of dark purple paint did Tim make?

So, Tim made 33/4 gallons of dark purple paint.

 

Subtracting mixed numbers with like denominators is similar to adding mixed numbers.

Add and Subtract Unlike Fractions.

Example 4: Find 1/2  +  1/4

 

Step 1: Check the denominators (Since they are different)

 

Step 2: Check if the denominators can divide each other. If they can; pick the greater number but if they cannot; multiply them.

 

Step 3: Continue with the working as outlined in the previous topic.

 

 

Example 5:  Find 1/2  –  2/5

Since the denominator are different are different, and they cannot divide each other completely, then multiply them.

 

 

Add and Subtract Unlike Fractions Using LCM

 

Example 5:  Find 4/5  –  5/8

We start by finding the LCM of the denominators (5 and 8)

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Quiz

Simplify  the following:

 

1)     3/8  +  4/8      2)   3/7  +  3/14                                                    3)    3/9  +  2/4

4)     4/7  –  1/7                               5)   11/12  –  1/4                           6)    4/5   –   1/3

Simplify  the following:

7)     12/7  +  34/8)   33/6  +  51/12                                               9)    63/10  +  32/4

10)     54/5  –  22/5                         11)   79/15  –  6 1/3                     12)    104/9  –  31/8

 

13) During pottery class, a clay block was sliced into 9 equal pieces. Wendy, Peter, and Jack each got 1/9 of the clay. What fraction of the total clay block did they get altogether? How many pieces is this?

 

14) In a class survey 4/10 of the students chose an animal as a mascot. The remaining students chose a cartoon character. What fraction of the students chose a cartoon character?

 

15) Jay bought 3/4 pound of lunch meat. He used 1/2 pound to make some lunches. How much of the lunch meat is left?

 

Use the table below to answer number 16 and 17

COSUME FABRIC NEEDED
Cowboy 31/4 yards
Ballerina 11/4 yards
Lion 23/4 yards

16) Loius wants to make cowboy and ballerina costumes. How many yards of fabric will she need?

 

17) Jenkins has 12/4 yards of fabric. How much more fabric does she need to make

a lion costume?

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