If a state has 40 representatives in the Lok Sabha, what fraction of the total L

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Question: If a state has 40 representatives in the Lok Sabha, what fraction of the total Lok Sabha members does this represent?

Options:

Correct Answer: 1/14

Solution:

Fraction = 40/545 = 1/13.625, which is approximately 1/14.

If a state has 40 representatives in the Lok Sabha, what fraction of the total Lok Sabha members does this represent?

If a state has 40 representatives in the Lok Sabha, what fraction of the total Lok Sabha members does this represent?

Step 1: Identify the total number of Lok Sabha members, which is 545.
Step 2: Identify the number of representatives from the state, which is 40.
Step 3: Write the fraction of the state's representatives to the total Lok Sabha members as 40/545.
Step 4: Simplify the fraction 40/545 by dividing both the numerator and the denominator by their greatest common divisor (GCD).
Step 5: Calculate the GCD of 40 and 545, which is 5.
Step 6: Divide 40 by 5 to get 8, and divide 545 by 5 to get 109.
Step 7: The simplified fraction is 8/109.
Step 8: To find an approximate fraction, divide 40 by 545 using a calculator to get approximately 0.0733.
Step 9: Convert 0.0733 to a fraction, which is approximately 1/14.

Fraction Calculation – Understanding how to calculate a fraction of a total by dividing the part (number of representatives) by the whole (total members of Lok Sabha).
Understanding Lok Sabha Composition – Knowledge of the total number of members in the Lok Sabha, which is essential for calculating the fraction.