Grade 4
  1. Numbers and Place Value  1.1. Understanding Place Value  1.2. Reading and Writing Large Numbers  1.3. Comparing and Ordering Numbers  1.4. Rounding Numbers  1.5. Understanding Odd and Even Numbers  1.6. Number Patterns and Sequences
  2. Addition and Subtraction  2.1. Addition of Large Numbers  2.2. Subtraction of Large Numbers  2.3. Estimation in Addition and Subtraction  2.4. Word Problems on Addition and Subtraction
  3. Multiplication and Division  3.1. Understanding Multiplication  3.2. Multiplying Multi-Digit Numbers  3.3. Understanding Division  3.4. Dividing Multi-Digit Numbers  3.5. Multiplication and Division Facts  3.6. Word Problems on Multiplication and Division
  4. Factors and Multiples  4.1. Understanding Factors  4.2. Finding Common Factors  4.3. Understanding Multiples  4.4. Finding Common Multiples  4.5. Prime and Composite Numbers  4.6. Prime Factorization  4.7. Greatest Common Factor  4.8. Least Common Multiple
  5. Fractions  5.1. Understanding Fractions  5.2. Equivalent Fractions  5.3. Simplifying Fractions  5.4. Comparing and Ordering Fractions  5.5. Addition of Fractions  5.6. Subtraction of Fractions  5.7. Mixed Numbers and Improper Fractions  5.8. Converting Mixed Numbers to Improper Fractions  5.9. Word Problems on Fractions
  6. Decimals  6.1. Understanding Decimals  6.2. Reading and Writing Decimals  6.3. Comparing and Ordering Decimals  6.4. Rounding Decimals  6.5. Addition of Decimals  6.6. Subtraction of Decimals  6.7. Converting Decimals to Fractions  6.8. Converting Fractions to Decimals  6.9. Word Problems on Decimals
  7. Measurement  7.1. Length  7.1.1. Units of Length  7.1.2. Converting Units of Length  7.1.3. Perimeter  7.1.4. Area  7.1.5. Word Problems on Length  7.2. Weight  7.2.1. Units of Weight  7.2.2. Converting Units of Weight  7.2.3. Word Problems on Weight  7.3. Volume and Capacity  7.3.1. Units of Volume  7.3.2. Converting Units of Volume  7.3.3. Estimating Volume and Capacity  7.3.4. Word Problems on Volume and Capacity  7.4. Time  7.4.1. Reading Time  7.4.2. Units of Time  7.4.3. Converting Units of Time  7.4.4. Calculating Elapsed Time  7.4.5. Word Problems on Time
  8. Geometry  8.1. Properties of Shapes  8.1.1. Types of Angles  8.1.2. Types of Triangles  8.1.4. Symmetry  8.1.5. Lines of Symmetry  8.2. Perimeter and Area  8.2.1. Perimeter of Rectangles  8.2.2. Perimeter of Other Shapes  8.2.3. Area of Rectangles  8.2.4. Area of Other Shapes  8.2.5. Area of Irregular Shapes  8.3. Coordinate Geometry  8.3.1. Understanding Coordinates  8.3.2. Plotting Points on a Grid  8.3.3. Identifying Shapes on a Grid
  9. Data and Graphs  9.1. Types of Data  9.2. Organizing Data  9.3. Reading Bar Graphs  9.4. Drawing Bar Graphs  9.5. Line Plots  9.7. Reading and Interpreting Line Graphs  9.8. Word Problems on Graphs
  10. Money  10.1. Understanding Money  10.2. Addition and Subtraction with Money  10.3. Making Change  10.4. Multiplying and Dividing Money  10.5. Word Problems on Money

Grade 4 → Decimals ↓


Converting Decimals to Fractions


Converting decimals to fractions is an essential skill in math. It helps us understand the relationship between different numbers and provides different ways to represent the same value. This guide will help you understand how to convert any decimal number to a fraction in a simple and understandable way.

What are decimal numbers?

Decimal numbers, also known as decimals, are numbers that include a decimal point to separate the whole part from the fractional part. For example, in decimal 3.5, the number 3 is the whole number, and 0.5 is the decimal part.

What are the fractions?

Fractions represent a part of a whole. A fraction has a numerator and a denominator. The numerator is the number on the top, which shows how many parts we have. The denominator is the number on the bottom, which shows the total number of equal parts the whole is divided into.

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Steps to convert a decimal to a fraction

There are a few simple steps to follow to convert a decimal to a fraction. You can do it like this:

Step 1: Write the decimal number

First, type in the decimal number you want to convert. For example, let's convert 0.75 to a fraction.

Step 2: Determine the place value of the last digit

Next, determine the place value of the last digit. In the decimal 0.75, the last digit is 5, and it is in the hundredths place (0.75 is read as seventy-five hundredths). Therefore, we will use 100 as our denominator.

Step 3: Remove the decimal point

Remove the decimal point, and just write the digits. So, 0.75 becomes 75.

Step 4: Write as a fraction

Place the numeral above the place value as a fraction. For 0.75, this becomes:

75/100

Step 5: Simplify the fraction

Finally, simplify the fraction by finding the greatest common divisor (GCD). The GCD of 75 and 100 is 25. Divide both the numerator and denominator by the GCD:

75 ÷ 25 = 3 and 100 ÷ 25 = 4

So 0.75 as a fraction is 3/4.

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Additional examples

Let us look at some more examples for better understanding:

Example 1: Convert 0.5 to a fraction

Step 1: Type 0.5.

Step 2: The last digit in tenth place is 5.

Step 3: Remove the decimal, get 5.

Step 4: Write as a fraction:

5/10

Step 5: Simplify by the GCD, which is 5:

5 ÷ 5 = 1 and 10 ÷ 5 = 2

Therefore, 0.5 as a fraction is 1/2.

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Example 2: Convert 0.125 to a fraction

Step 1: Start with 0.125.

Step 2: The last digit is placed in the thousandth place.

Step 3: Remove the decimal, get 125.

Step 4: Write as a fraction:

125/1000

Step 5: Simplify from the GCD of 125:

125 ÷ 125 = 1 and 1000 ÷ 125 = 8

This means that 0.125 is equal to 1/8 as a fraction.

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Understanding simple and complex decimals

Sometimes decimals are simple and only include a few decimal places. Other times, they can be complex, long, and a little more challenging to convert. Remember, the process is still the same. Let's look at a complex example.

Example: Convert 0.375 to a fraction

Step 1: Mark 0.375.

Step 2: The last digit is placed in the thousandth place.

Step 3: Remove the decimal, the result will be 375.

Step 4: Write it as follows:

375/1000

Step 5: Simplify using the GCD, which is 125:

375 ÷ 125 = 3 and 1000 ÷ 125 = 8

Therefore, 0.375 as a fraction is 3/8.

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Troubleshooting common problems

Some common issues include misunderstanding local value or simplifying fractions. Always double-check the location of the last digit and use a calculator if necessary to find the GCD for simplifying.

Practical applications

Converting decimals to fractions is useful for measuring ingredients in recipes, understanding construction dimensions, easily comparing quantities, and solving real-world scenarios where one method of representation is simpler or more meaningful.

Quick conversion tips

  • Always count decimal places carefully.
  • Use the power of ten corresponding to the place value of the last digit as your denominator.
  • Simplify your fraction by dividing the numerator and denominator by their GCD.
  • Practice with different numbers to become more comfortable and confident in the conversion.

Conclusion

Converting decimals to fractions can be simple once you understand the process. By following the steps above and practicing, you'll be able to confidently convert decimals to fractions and use them effectively in a variety of mathematical contexts. Remember, math is a skill that improves with practice, so keep working with different examples to solidify your understanding!


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Converting Decimals to Fractions

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