1.35 As A Fraction In Simplest Form

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Converting decimal numbers to fractions is a fundamental concept in mathematics. It is essential to understand how to simplify fractions to make calculations more manageable. In this article, we will discuss how to convert 1.35 as a fraction in its simplest form.

What is a Fraction?

A fraction is a way to express a part of a whole as a numerical value. It consists of two parts: the numerator (the top number) and the denominator (the bottom number). The numerator tells us how many equal parts we have, and the denominator tells us how many parts the whole is divided into.

Converting Decimals to Fractions

To convert a decimal number to a fraction, we need to find the place value of the last digit. The place value will determine the denominator of the fraction. For example, if the last digit is in the hundredths place, the denominator will be 100.

Step-by-Step Process

Let's use the decimal number 1.35 as an example:

1. Write the decimal number as a fraction with the denominator being the place value of the last digit. In this case, the last digit is in the hundredths place, so the denominator will be 100.

1.35 = 135/100

2. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 135 and 100 is 5.

135 ÷ 5 = 27 100 ÷ 5 = 20

Therefore, the simplified fraction is:

1.35 = 27/20

Why is Simplifying Fractions Important?

Simplifying fractions is crucial in mathematics because it makes calculations more efficient and accurate. When fractions are in their simplest form, it is easier to add, subtract, multiply, and divide them. Simplifying fractions also helps to avoid confusion and errors in mathematical calculations.

Real-World Applications

Simplifying fractions has many real-world applications, such as:

• Cooking: When following a recipe, it is essential to simplify fractions to ensure accurate measurements.
• Finance: Simplifying fractions is crucial in financial calculations, such as calculating interest rates and investment returns.
• Science: Simplifying fractions is used in scientific calculations, such as calculating the density of a substance.

Conclusion

Converting decimal numbers to fractions is a fundamental concept in mathematics. By following the step-by-step process, we can simplify fractions to make calculations more efficient and accurate. In the case of 1.35, the simplified fraction is 27/20. Simplifying fractions is essential in many real-world applications, and it is a crucial skill to master in mathematics.