How To Do Fractions On A Calculator

Fractions are an essential mathematics component commonly used in various fields such as science, engineering, and finance. While performing fraction calculations by hand is crucial for understanding the concept, a fractions calculator can save time and minimise errors. Let's explore the fundamental techniques and strategies to perform fraction calculations on a calculator efficiently. 

What Is Fraction Representation

Before we delve into the calculations, let's ensure a clear understanding of how fractions are represented. 

A fraction consists of two parts: the numerator, which is the top number, and the denominator (the bottom number). For example, in the fraction 5/6, 5 is the numerator, and 6 is the denominator. The numerator represents the number of parts we have, while the denominator represents the total number of equal parts the whole is divided into.

By Ellie Cross From Research Prospect

What Is A Numerator?

In mathematics, the numerator refers to the top or upper part of a fraction. The numerator represents the number or quantity being considered or counted.

For example, in the fraction 3/5, the numerator is 3. This means that out of a total of 5 equal parts, we are considering or counting three parts. The numerator is typically written above a horizontal line (fraction bar) and is separated from the denominator, which is written below the line.

What Is A Denominator?

The denominator refers to the bottom or lower part of a fraction. The denominator represents the total number of equal parts into which the whole is divided, and it gives context to the numerator.

For example, in the fraction 3/5, the denominator is 5. This means that the whole is divided into five equal parts.

The denominator is written below a horizontal line (fraction bar) and is separated from the numerator, which is written above the line. It indicates the size or the unit of the parts being considered in relation to the whole.

Basic Operations: Addition and Subtraction

Performing addition and subtraction of fractions on a calculator involves the following steps:

1. Input the first fraction: Enter the numerator, the division key ("/"), and then the denominator.
2. Choose the operation: Press the addition ("+") or subtraction ("-") key.
3. Input the second fraction: Repeat step 1 to enter the second fraction.
4. Obtain the result: Press the equals ("=") key to calculate the sum or difference.

Example of Fraction Addition Using A Calculator

For example, to add 1/2 and 3/4 on a calculator, follow these steps:

1. Enter 1, "/," and 2.
2. Press "+."
3. Enter 3, "/," and 4.
4. Press "=" to obtain the result, which is 5/4 or 1 1/4.

Multiplication and Division of Fractions

When multiplying or dividing fractions using a calculator, the following steps should be followed:

1. Input the first fraction: Enter the numerator, "/," and the denominator.
2. Choose the operation: Press the multiplication ("*") or division ("/") key.
3. Input the second fraction: Repeat step 1 to enter the second fraction.
4. Obtain the result: Press "=" to calculate the product or quotient.

Example of Fraction Multiplication Using A Calculator

For example, let's multiply 2/3 by 3/5:

1. Enter 2, "/," and 3.
2. Press "*."
3. Enter 3, "/," and 5.
4. Press "=" to obtain the result, which is 6/15 or 2/5.

Complex Fraction Calculations

Sometimes, you may encounter complex fraction calculations involving multiple operations or mixed numbers. Students often find such problems difficult and leave their homework to academic writing services. However, if you go through guides like these you will see that it is easy to work on these tedious tasks. 

To handle these situations effectively, follow these steps:

• Simplify mixed numbers: 

Convert mixed numbers into improper fractions before proceeding with calculations.

• Perform calculations in a step-by-step manner: 

Start with parentheses, followed by multiplication or division, and then addition or subtraction.

• Use the calculator's memory function: 

Store intermediate results in the calculator's memory to avoid errors.

Example of Complex Fraction Calculation

For instance, let's solve the expression 1/2 + 3/4 ÷ (2/3 - 1/6):

1. Convert mixed numbers to improper fractions: 1/2 becomes 3/6, and 3/4 becomes 6/8.
2. Calculate the expression inside the parentheses: 2/3 - 1/6 equals 4/6 - 1/6, which simplifies to 3/6 or 1/2.
3. Divide 6/8 by 1/2: Enter 6, "/," 8, "*," 1, "/," 2, and "=" to obtain the result, which is 12/8 or 3/2.

Conclusion

Mastering fraction calculations on a calculator is a valuable skill that greatly enhances your efficiency and accuracy in mathematical tasks. Following the step-by-step techniques discussed in this blog post, you can confidently handle addition, subtraction, multiplication, and division of fractions. Remember to be mindful of converting mixed numbers to improper fractions and to perform calculations in the correct order, utilising parentheses when necessary. Regular practice and familiarity with your calculator's functions will undoubtedly boost your proficiency in fraction calculations. So, embrace the power of technology and make fractions your allies in tackling complex mathematical problems!