High School

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i) \(\frac{5}{10}\) of 10,000? 5,000

ii) \(\frac{9}{10}\) of 10,000? 9,000

a. The number of oranges taken to market in three months.

i. How many oranges were transported to the market? 15,000

ii. What is \(\frac{1}{3}\) of the oranges? 5,000

iii. What is \(\frac{2}{3}\) of the oranges? 10,000

b. Total number of people visiting an exhibition for six days.

i. How many people in total visited the exhibition?

ii. What is \(\frac{1}{7}\) of the people? 12,500

iii. What is \(\frac{2}{7}\) of the people? 25,000

iv. What is \(\frac{5}{7}\) of the people? 67,500

v. What is \(\frac{7}{7}\) of the people? 87,500

vi. What is \(\frac{2}{7}\) of the people? 25,000

c. The total value of the goods they sold in one year.

i. What is the total value of the goods sold per year? 120,000

ii. What is \(\frac{3}{12}\) of the total amount? 30,000

iii. What is \(\frac{4}{12}\) of the total amount? 40,000

iv. What is \(\frac{8}{12}\) of the total amount?

v. What is \(\frac{10}{12}\) of the total amount?

Answer :

The student’s question involves calculating fractions of given quantities. Here’s how we can solve each part step-by-step:

a. Number of oranges taken to market

i. How many oranges were transported to the market?


  • Total: 15,000


ii. What is [tex]\frac{1}{3}[/tex] of the oranges?

To find [tex]\frac{1}{3}[/tex] of 15,000, you'd use the formula:

[tex]\frac{1}{3} \times 15,000 = \frac{15,000}{3} = 5,000[/tex]

iii. What is [tex]\frac{2}{3}[/tex] of the oranges?

To find [tex]\frac{2}{3}[/tex] of 15,000, you'd use the formula:

[tex]\frac{2}{3} \times 15,000 = \frac{30,000}{3} = 10,000[/tex]

b. Total number of people visiting an exhibition for six days

i. How many people in total visited the exhibition?

Given: Total = 87,500

ii. What is [tex]\frac{1}{7}[/tex] of the people?

[tex]\frac{1}{7} \times 87,500 = \frac{87,500}{7} = 12,500[/tex]

iii. What is [tex]\frac{2}{7}[/tex] of the people?

[tex]\frac{2}{7} \times 87,500 = \frac{175,000}{7} = 25,000[/tex]

iv. What is [tex]\frac{5}{7}[/tex] of the people?

[tex]\frac{5}{7} \times 87,500 = \frac{437,500}{7} = 62,500 \, \text{(not 67,500 as incorrectly stated)}[/tex]

v. What is [tex]\frac{7}{7}[/tex] of the people?

Since [tex]\frac{7}{7}[/tex] is equal to 1, it represents the total amount.


  • Total: 87,500


c. The total value of the goods sold in one year

i. What is the total value of the goods sold per year?


  • Total: 120,000


ii. What is [tex]\frac{3}{12}[/tex] of the total amount?

[tex]\frac{3}{12} \times 120,000 = \frac{360,000}{12} = 30,000[/tex]

iii. What is [tex]\frac{4}{12}[/tex] of the total amount?

[tex]\frac{4}{12} \times 120,000 = \frac{480,000}{12} = 40,000[/tex]

iv. What is [tex]\frac{8}{12}[/tex] of the total amount?

[tex]\frac{8}{12} \times 120,000 = \frac{960,000}{12} = 80,000[/tex]

v. What is [tex]\frac{10}{12}[/tex] of the total amount?

[tex]\frac{10}{12} \times 120,000 = \frac{1,200,000}{12} = 100,000[/tex]

This practice involves understanding how to calculate fractional parts of a total, which is a common mathematical exercise used to enhance calculation skills and number sense.

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