Skills Focused: Number Sense, Fraction and Decimal Operations, Real-World Application, Problem-Solving Skills, Accuracy and Precision, Mathematical Communication, Critical Thinking
Converting decimals to fractions or mixed numbers is can be a challenging but important skill to learn. Because of that here you can find nine downloadable and printable worksheets, each featuring 15 carefully designed word problems. These problems are inspired by real-life situations, like dividing a pie, measuring fabric, or working with distances.
Questions ask you to convert 0.75 meters of ribbon into a fraction or express 1.25 liters of juice as a mixed number. These relatable examples make the math feel meaningful and less abstract.
Each worksheet is created with a focus on variety and progression. Some problems are straightforward conversions, while others encourage deeper thinking involving multi-step scenarios. Answer keys are included and the answer keys will make it easy to review and understand the solutions.
What makes these worksheets unique is their simplicity and practicality. They’re easy to download in PDF format and print out, whether you want to use them for structured learning or extra practice. Plus, the problems are designed to strengthen core math skills, like precision, problem-solving, and critical thinking, all while keeping things relevant to everyday experiences.
Time needed: 2 minutes
Step-by-step guide to converting 0.75 meters into a simplified fraction.
Identify the given decimal, which is 0.75 in this case.
Write 0.75 as a fraction: 75/100, considering its place value.
Simplify 75/100 by dividing both numerator and denominator by their greatest common divisor (GCD), which is 25. This simplifies to 3/4.
Check your work by converting 3/4 back to decimal to confirm it equals 0.75.
A simplified fraction: 3/4
To convert a decimal into a fraction, first write the decimal as a fraction with a denominator of 1 (e.g., 0.5 = 0.5/1). Then, multiply both the numerator and the denominator by 10 for each digit after the decimal point to eliminate the decimal.
For example, 0.5 becomes 5/10. Finally, simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD), so 5/10 simplifies to 1/2.
A fraction represents a part of a whole, like 3/4. A mixed number, on the other hand, combines a whole number with a fraction, such as 1 1/4. Mixed numbers are typically used when the value is greater than 1, while fractions are used for values less than or equal to 1.
Converting decimals to fractions or mixed numbers is essential because fractions are often more intuitive in real-life situations like cooking, measuring, or dividing objects. For example, 0.75 as 3/4 is easier to understand when slicing a pie into four equal parts.
Yes, all decimals can be converted into fractions, but the type of decimal matters. Terminating decimals, like 0.25, can be directly written as a fraction. Repeating decimals, like 0.333…, can also be written as fractions, though it may involve algebra to find the equivalent fraction (e.g., 0.333… = 1/3).
To convert a decimal into a mixed number, separate the whole number part and the decimal part.
For example, for 2.75, the whole number is 2, and the decimal 0.75 is converted into the fraction 3/4. Combine them to get 2 3/4.
A common mistake is forgetting to simplify the fraction after converting it.
For example, converting 0.6 to 6/10 without simplifying it to 3/5. Another mistake is misunderstanding repeating decimals, like 0.666…, which actually equals 2/3, not 6/10.
To simplify a fraction, find the greatest common divisor (GCD) of the numerator and denominator. Divide both by the GCD.
For instance, for 50/100, the GCD is 50. Dividing both gives 50 ÷ 50 / 100 ÷ 50 = 1/2.
Mixed numbers are often easier to use in everyday scenarios because they combine whole numbers with fractions, making them more intuitive. For example, 1 1/2 is easier to visualize than 3/2 when talking about cups of flour or miles walked.
Converting repeating decimals into fractions involves algebra. For 0.333…, let x = 0.333…. Multiply both sides by 10: 10x = 3.333…. Subtract the original x from this: 10x – x = 3, so 9x = 3. Solve for x: x = 3/9 = 1/3.
