3 Simple Steps To Convert 1.3 To Fraction Form

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Converting decimal numbers to fractions is an essential skill in mathematics, and it's often used in various mathematical operations. One of the common decimal numbers that people want to convert to fraction form is 1.3. If you're struggling to convert 1.3 to fraction form, don't worry, we've got you covered. In this article, we'll show you three simple steps to convert 1.3 to fraction form.

The importance of converting decimal numbers to fractions cannot be overstated. Fractions are used in various mathematical operations, such as addition, subtraction, multiplication, and division. They are also used in algebra, geometry, and other advanced mathematical concepts. Moreover, fractions are used in real-life applications, such as cooking, science, and engineering. Therefore, it's essential to know how to convert decimal numbers to fractions.

Converting decimal numbers to fractions can seem daunting, but it's actually a straightforward process. With the right steps, you can convert any decimal number to fraction form. In this article, we'll show you how to convert 1.3 to fraction form in three simple steps.

Step 1: Write the Decimal Number as a Fraction

The first step in converting 1.3 to fraction form is to write it as a fraction. To do this, you need to write the decimal number as the numerator and the denominator as the power of 10 that corresponds to the number of decimal places. In this case, 1.3 has one decimal place, so the denominator will be 10.

1.3 = 13/10

Why is the Denominator 10?

The denominator is 10 because the decimal number 1.3 has one decimal place. When you have one decimal place, you need to multiply the decimal number by 10 to get rid of the decimal point. This is why the denominator is 10.

Step 2: Simplify the Fraction

The second step in converting 1.3 to fraction form is to simplify the fraction. Simplifying a fraction means reducing it to its lowest terms. To simplify the fraction 13/10, you need to find the greatest common divisor (GCD) of the numerator and the denominator.

The GCD of 13 and 10 is 1, which means that the fraction 13/10 is already in its simplest form.

What if the GCD is Not 1?

If the GCD of the numerator and the denominator is not 1, you need to divide both numbers by the GCD to simplify the fraction. For example, if the GCD of 12 and 8 is 4, you would divide both numbers by 4 to get 3/2.

Step 3: Write the Final Answer

The final step in converting 1.3 to fraction form is to write the final answer. Since the fraction 13/10 is already in its simplest form, the final answer is:

1.3 = 13/10

What if You Need to Convert a Decimal Number with More Than One Decimal Place?

If you need to convert a decimal number with more than one decimal place, you need to adjust the denominator accordingly. For example, if you need to convert 1.34 to fraction form, the denominator would be 100, since there are two decimal places.

1.34 = 134/100

Simplifying the fraction 134/100, you get:

1.34 = 67/50

And that's it! With these three simple steps, you can convert 1.3 to fraction form. Remember to always simplify the fraction to its lowest terms to get the final answer.

We hope this article has helped you learn how to convert 1.3 to fraction form in three simple steps. If you have any questions or need further clarification, please don't hesitate to ask.