Back to: Mathematics Primary 5
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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.
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 5/8 and 3/8.
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)
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 + 34/7 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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