Mrs Lim buys a piece of fabric that is 5 1/6 m long. She cuts 2 3/4 m for a dress and 1 1/3 m for curtains. How many metres of fabric does Mrs Lim have left? Give your answer as a mixed number.
Show Worked Solution
Worked Solution
Step 1: Add the two lengths cut.
2 3/4 + 1 1/3
Convert to improper fractions: 11/4 + 4/3
LCD of 4 and 3 = 12
11/4 = 33/12 and 4/3 = 16/12
33/12 + 16/12 = 49/12 = 4 1/12 m
Step 2: Convert starting length to twelfths.
5 1/6 = 31/6 = 62/12
Step 3: Subtract total cut from starting length.
62/12 - 49/12 = 13/12 = 1 1/12 m
Verify: 33/12 + 16/12 + 13/12 = 62/12 = 31/6 = 5 1/6. Correct.
Final Answer: 1 1/12 m
Correct answer: 1 1/12
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