What Is Equivalent to 3/4 Fraction?

Fractions help represent parts of a whole and are widely used in mathematics and everyday calculations. Understanding equivalent fractions makes it easier to solve problems and compare values. In this article, we will understand what fractions are equivalent to 3/4, how to find them, and their real-life applications.

Understanding the Fraction 3/4

The fraction 3/4 represents three parts out of four equal parts of a whole.

Breaking Down 3/4

• 3 (Numerator): Shows how many parts are selected.
• 4 (Denominator): Shows the total number of equal parts.

For example, if a pizza is divided into 4 equal slices and you eat 3 slices, you have eaten 3/4 of the pizza.

What Are Equivalent Fractions?

Equivalent fractions are fractions that represent the same value but have different numerators and denominators. These fractions are formed by multiplying or dividing both numbers by the same value.

Definition

Equivalent fractions represent the same portion of a whole even if their numbers are different.

Some equivalent fractions of 3/4 include:

• 6/8
• 9/12
• 12/16

All these fractions represent the same value as 3/4.

Equivalent Fractions of 3/4

To find equivalent fractions of 3/4, multiply both numerator and denominator by the same number.

Examples of Equivalent Fractions

Multiply By	Equivalent Fraction
2	6/8
3	9/12
4	12/16
5	15/20
6	18/24
7	21/28
8	24/32
9	27/36
10	30/40

All these fractions are equal to 3/4.

How to Find Equivalent Fractions of 3/4

Equivalent fractions can be found using a simple process.

Step-by-Step Method

Step 1: Start With the Original Fraction

Example: 3/4

Step 2: Choose Any Whole Number

Select a number such as 2, 3, 4, or more.

Step 3: Multiply Both Numerator and Denominator

Example:

Multiply by 2
3 × 2 = 6
4 × 2 = 8
Equivalent fraction = 6/8

Multiply by 5
3 × 5 = 15
4 × 5 = 20
Equivalent fraction = 15/20

This process can continue infinitely.

Why Are Equivalent Fractions Important?

Equivalent fractions are useful for solving mathematical problems and performing comparisons.

Simplifying Fractions

Equivalent fractions help convert complex fractions into simpler forms.

Example:
12/16 can be simplified to 3/4 by dividing both numbers by 4.

Comparing Fractions

Equivalent fractions help compare fractions with different denominators.

Example:
3/4 and 9/12 represent the same value.

Performing Fraction Operations

Equivalent fractions help create common denominators while performing addition or subtraction.

Example:
3/4 + 1/8

Convert 3/4 into 6/8
Now add:
6/8 + 1/8 = 7/8

Visual Representation of Equivalent Fractions of 3/4

Equivalent fractions can be understood through visual examples.

Imagine a chocolate bar divided into equal pieces:

• Dividing into 4 parts and eating 3 parts equals 3/4.
• Dividing into 8 parts and eating 6 parts still equals 3/4.
• Dividing into 12 parts and eating 9 parts also equals 3/4.

The consumed portion remains the same.

Converting 3/4 into Decimal and Percentage

Fractions can be converted into decimal and percentage formats.

Decimal Form

3 ÷ 4 = 0.75

Percentage Form

0.75 × 100 = 75%

All equivalent fractions of 3/4 represent 75% of a whole.

How to Check If Two Fractions Are Equivalent to 3/4

Cross multiplication helps verify equivalent fractions.

Example: Is 9/12 Equivalent to 3/4?

Step 1: Cross multiply
3 × 12 = 36
4 × 9 = 36

Step 2: Compare results
Since both values are equal, 9/12 is equivalent to 3/4.

Common Mistakes While Finding Equivalent Fractions

Multiplying Only One Part

Both numerator and denominator must be multiplied by the same number.

Using Different Multipliers

Using different numbers changes the fraction value.

Real-Life Examples of 3/4 Equivalent Fractions

Cooking Measurements

3/4 cup of milk can also be measured as:

• 6/8 cup
• 9/12 cup
• 12/16 cup

Time Calculation

3/4 of an hour equals:

60 × 3/4 = 45 minutes

Academic Scores

If a student scores 3/4 marks, it represents 75% marks.

Infinite Equivalent Fractions of 3/4

Some equivalent fractions of 3/4 include:

• 33/44
• 75/100
• 150/200
• 300/400

All represent the same value as 3/4.