Express 0.63 As A Simplest Form Fraction In 1 Step

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Expressing 0.63 as a Simplest Form Fraction

Expressing a decimal as a fraction is a fundamental concept in mathematics, and it can be done in a straightforward manner. In this case, we want to express 0.63 as a simplest form fraction in one step.

Step-by-Step Solution

To express 0.63 as a fraction, we can write it as 63/100. This is because 0.63 is equal to 63 hundredths.

However, to simplify this fraction, we need to find the greatest common divisor (GCD) of 63 and 100. The GCD of 63 and 100 is 1, which means that the fraction 63/100 is already in its simplest form.

Therefore, 0.63 can be expressed as a simplest form fraction as 63/100 or, more commonly, as 21/33 and further reduced to 7/11 after dividing numerator and denominator by 3.

So, 0.63 = 63/100 = 21/33 = 7/11.

Note that this is a single-step process, as we can directly express 0.63 as a fraction and simplify it to its simplest form.

Importance of Fractions in Mathematics

Fractions are a fundamental concept in mathematics, and they have numerous applications in various fields, including algebra, geometry, trigonometry, and calculus. Understanding fractions is essential for problem-solving and critical thinking in mathematics.

Benefits of Using Fractions

Using fractions has several benefits, including:

• Simplifying complex calculations: Fractions can be used to simplify complex calculations and make them more manageable.
• Accurate representation: Fractions provide an accurate representation of proportions and ratios, which is essential in various mathematical and real-world applications.
• Building algebraic thinking: Fractions help build algebraic thinking and problem-solving skills, which are crucial for advanced mathematical concepts.

In conclusion, expressing 0.63 as a simplest form fraction is a straightforward process that can be done in one step. Understanding fractions and their applications is essential for mathematical literacy and problem-solving skills.