Mixed Numbers as Fractions in Simplest Form
In this article, we will explore how to convert mixed numbers, specifically 2 1/3 and 4 1/2, into fractions in their simplest form.
What are Mixed Numbers?
A mixed number is a combination of a whole number and a fraction. It is a way to express a value that is not a whole number, but rather a part of a whole. Mixed numbers are often used in everyday life, such as in cooking recipes, measurement, and time.
Converting Mixed Numbers to Fractions
To convert a mixed number to a fraction, we need to follow a simple rule:
Step 1: Multiply the whole number part by the denominator of the fraction.
Step 2: Add the numerator of the fraction to the product of the whole number and the denominator.
Step 3: Write the result as a fraction.
Let's apply this rule to our two mixed numbers:
2 1/3 as a Fraction
Step 1: Multiply 2 (whole number part) by 3 (denominator of the fraction) = 6
Step 2: Add 1 (numerator of the fraction) to 6 = 7
Step 3: Write the result as a fraction: 7/3
So, 2 1/3 as a fraction is 7/3.
4 1/2 as a Fraction
Step 1: Multiply 4 (whole number part) by 2 (denominator of the fraction) = 8
Step 2: Add 1 (numerator of the fraction) to 8 = 9
Step 3: Write the result as a fraction: 9/2
So, 4 1/2 as a fraction is 9/2.
Simplifying Fractions
To simplify a fraction, we need to find the greatest common divisor (GCD) of both the numerator and the denominator and divide both numbers by the GCD.
In our case:
- For 7/3, the GCD is 1, so the fraction is already in its simplest form.
- For 9/2, the GCD is 1, so the fraction is already in its simplest form.
Therefore, our final answers are:
- 2 1/3 as a fraction in simplest form is 7/3.
- 4 1/2 as a fraction in simplest form is 9/2.
