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Question

A factory annually produced the following units in four quarters :
Q1 : 1500, Q2 : 2500, Q3 : 2000, Q4 : 4000.
What fraction of the total annual production was produced in Q2 ?

The correct answer is
1/4

Calculating Q2 Production Fraction

The question asks for the fraction of the total annual production that was produced in Q2.

Production Data

The units produced in each quarter are:

  • Q1: 1500 units
  • Q2: 2500 units
  • Q3: 2000 units
  • Q4: 4000 units

Total Annual Production

First, calculate the total annual production by summing the units from all four quarters:

Total Production = Q1 + Q2 + Q3 + Q4
Total Production = 1500 + 2500 + 2000 + 4000
Total Production = 10000 units

Fraction for Q2

Next, determine the fraction of the total annual production that Q2 represents. This is done by dividing the production of Q2 by the total annual production:

Fraction for Q2 = $\frac{\text{Q2 Production}}{\text{Total Annual Production}}$
Fraction for Q2 = $\frac{2500}{10000}$

Simplify Fraction

Simplify the fraction:

Fraction for Q2 = $\frac{2500}{10000} = \frac{25}{100} = \frac{1}{4}$

Therefore, $\frac{1}{4}$ of the total annual production was produced in Q2.

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Important Questions from Fractions

  1. If three-fifths of a number is 54, what is two-ninth of it?

  2. Sunila had \(9\frac{1}{4}\) kg of flour to make bread with. If the recipe says that she needs  \(1\frac{1}{8}\) kg to make one loaf of bread, how many loafs can she make? Estimate to the nearest whole number.

  3. The value of \(\frac{{11}}{5} - \left( {\frac{2}{3}of\frac{3}{5} - \frac{1}{5}} \right) + \left( {\frac{6}{5} \div \frac{4}{5}} \right)\) is:

  4. In his career, a tennis player won 5 matches lost 12 matches and had 3 matches as draw. The fraction of the match he lost in his career is:

  5. Simplify:

    \(62\div 5 - \left(\frac{8}{9}\times \frac{18}{7}\right)\times \frac{7}{5}+\frac{5}{4}\times \frac{16}{25}\)

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