Addition And Subtraction Of Fraction With The Same Denominator

Addition And Subtraction Of Fraction With The Same Denominator

Add and Subtract Like Fractions.

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/and 1/5.

 

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

3/+ 1/5

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?

Add.  22/4  +  11/4

 

(2 + 1) 2  +   1/4       =    33/4

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.

1/2  +  1/4

2  +  1   /4    =     3/4

Example 5:  Find 1/2  –  2/5

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

1/2  –  2/5

5  –  4   /10      =    1/10

 Quiz

  1. Sanchez 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?
  2. Morris jogged 5/8 of a mile on Monday and 3/8 of a mile on Tuesday. How much farther did she jog on Monday?
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