A person can complete a work in 12 days. If he works for 4 days, what fraction o

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Question: A person can complete a work in 12 days. If he works for 4 days, what fraction of the work is left?

Options:

Correct Answer: 2/3

Solution:

Work done in 4 days = 4/12 = 1/3. Work left = 1 - 1/3 = 2/3.

A person can complete a work in 12 days. If he works for 4 days, what fraction of the work is left?

A person can complete a work in 12 days. If he works for 4 days, what fraction of the work is left?

Step 1: Understand that the person can complete the entire work in 12 days.
Step 2: Calculate how much work is done in 4 days. Since the person completes the work in 12 days, in 4 days, he completes 4/12 of the work.
Step 3: Simplify 4/12 to 1/3. This means 1/3 of the work is done in 4 days.
Step 4: To find out how much work is left, subtract the work done from the total work. Total work is 1 (whole work), so work left = 1 - 1/3.
Step 5: Calculate 1 - 1/3. This equals 2/3. Therefore, 2/3 of the work is left.

Work Rate – Understanding how to calculate work done based on time and total work capacity.
Fraction Calculation – Ability to compute fractions and understand the concept of remaining work.