Fractions and Percentages - Free MCQ Practice Test with solutions,

To visualize equivalent fractions effectively, you can use the following methods:

• Pie charts show how different fractions make up a whole, helping to compare proportions.
• Number lines illustrate the position of fractions, making it easy to see which fractions are equivalent.
• Bar graphs allow you to compare the lengths of bars representing different fractions, highlighting their equivalence visually.

Among these, the most straightforward and commonly used method is using a number line. This method clearly shows equivalent fractions in relation to one another.

A reduction of 20% means that the item is now worth 100% − 20% = 80% of its original price. Understanding percentages in sales is crucial for making informed purchasing decisions and budgeting effectively.

The percentage symbol (%) represents a fraction out of 100. It indicates how many parts of 100 are being referred to, making it a useful tool for understanding proportions in various contexts, such as finance, statistics, and everyday comparisons.

A proper fraction is defined as a fraction where the numerator (the top number) is less than the denominator (the bottom number). This means that the value of the fraction is less than one. For example, in the fraction 3/4, 3 is less than 4, making it a proper fraction.

The primary purpose of converting fractions to a common denominator is to compare them directly. When fractions have the same denominator, it becomes straightforward to determine which fraction is larger or smaller. This is a key skill in fraction operations and helps in many practical applications, such as cooking or budgeting.

To convert 1/2 to an equivalent fraction with a denominator of 8, multiply the numerator and denominator by 4:

This process of finding equivalent fractions allows us to compare and order fractions more easily. It's important to maintain the same value while changing the fraction's appearance.

To check equivalence, convert fractions so they have the same value as 1/2​.
1/2 = 3/6
Thus, option B is correct.

A proper fraction is defined as a fraction where the numerator (the top number) is less than the denominator (the bottom number). This means that the value of the fraction is less than 1.

• For example, in the fraction 3/4, 3 is less than 4, making it a proper fraction.
• In contrast, a fraction like 5/3 is not a proper fraction because 5 is greater than 3.

Thus, the key characteristic of a proper fraction is that it represents a part of a whole, rather than a whole or more.

The percentage symbol (%) is commonly used to indicate parts per hundred, particularly in contexts such as sales discounts. For example, a store might advertise a 25% discount on a product, meaning that the price is reduced by 25 parts out of 100 of the original price. Understanding percentages is crucial in everyday financial decisions, like shopping and budgeting.

The total percentage of the garment made of other materials can be calculated by first adding the percentages of cotton and wool.

• Cotton: 50%
• Wool: 25%

Adding these gives: 50% + 25% = 75%

To find the percentage of silk in the garment, subtract the total percentage of cotton and wool from 100%: 100% - 75% = 25%

Thus, the garment is made up of 25% silk.