Add and subtract fractions with like denominators: word problems
key notes :-
Like Denominators:
- Fractions with the same denominator are called fractions with like denominators.
- When adding or subtracting fractions with like denominators, you do not need to change the denominator.
Addition of Fractions:
- Rule: Add the numerators (top numbers) while keeping the denominator (bottom number) the same.
Subtraction of Fractions:
- Rule: Subtract the numerators while keeping the denominator the same.
Learn with an example
Leslie’s Coffee Shop can make lattes with either whole milk or skim milk. On Saturday, Leslie’s Coffee Shop went through 7/8 of a carton of whole milk and 3/8 of a carton of skim milk.
How much more whole milk was used than skim milk?
Find how much more whole milk was used by subtracting 3/8 from 7/8.
Subtract the numerators:
7/8 – 3/8 = 4/8
Leslie’s Coffee Shop used 4/8 of a carton more whole milk than skim milk.
Of the shirts in Tommy’s chest of drawers, 1/3 are striped, while another 1/3 are plaid.
What fraction of the shirts are either striped or plaid?
Find the fraction of the shirts that are either striped or plaid by adding 1/3 and 1/3.
Add the numerators:
1/3 + 1/3 = 2/3
The fraction of the shirts that are either striped or plaid is 2/3.
Over the weekend, Derek drank 5/6 of a bottle of soda and Sofia drank 1/6 of a bottle.
How much more soda did Derek drink than Sofia?
Find how much more soda Derek drank by subtracting 1/6 from 5/6.
Subtract the numerators:
5/6 – 1/6 = 4/6
Derek drank 4/6 of a bottle more soda than Sofia.
let’s practice: