Write the numerator and denominator of the fractional part in factored form and cancel out the common factors. Improper fractions are those in which the numerator is greater than the denominator and a mixed fraction is a mixture of a whole and a proper fraction. To simplify improper fractions we need to convert them to mixed fractions, for that we need to divide the numerator by the denominator. Then, we write it in the mixed number form by placing the quotient as the whole number, the remainder as the numerator, and the divisor as the denominator.
Let us go through the following example to understand this better. Example 1: Sally loves growing flowers in her garden. Can you tell which flowers she grows the most?
Express the part of those flowers in a form of the simplest fraction. The large area of the garden is filled with red flowers. So, Sally loves to grow red flowers the most. Factors of 8: 1, 2, 4, and 8. And, factors of 1, 2, 3, 4, 6, and So, Sally loves growing red flowers the most. Example 2: Jolly is playing with her magic disc. The disc is divided into 16 equal parts as shown. What part of the disc is colored blue? Can you express this fraction in the simplest form?
Let's find the highest common factor of 8 and 16; factors of 8: 1, 2, 4, and 8, and factors of 1, 2, 4, 8, and We observe the highest common factor of 8 and 16 is 8.
This means half of the disc is colored blue. Large fractions can be simplified by dividing the numerator and denominator by the common prime factors to reduce it to the simplest form. The fractions in which the numerator is bigger than the denominator are called improper fractions. Divide the numerator by denominator to obtain quotient and remainder.
To reduce a fraction into its simplest form, divide the numerator and denominator by the highest common factor. One of the quickest ways to reduce a fraction to its simplest form is to divide the numerator and denominator of the fraction by the highest common factor.
Learn Practice Download. How to Simplify Fractions? Easy Ways to Simplify Fractions 3. Simplifying Mixed Fractions 4. Simplifying Improper Fractions 5. Simplify Fractions Step by Step Here is a step by step process for you to understand the process of simplifying a fraction. The factors of 8 and 24 are Factors of 8: 1, 2, 4, and 8 Factors of 1, 2, 3, 4, 6, 8, 12, and 24 Step 2: Determine the common factors of numerator and denominator.
Earlier we saw that we could multiply by a complicated form of 1 and maintain an equivalent fraction. Now we will reverse this process and remove a complex form of 1. Simplifying a Fraction - Reducing to its lowest terms Factor the numerator and denominator into the product of prime numbers Cancel all common factors between the numerator and denominator When we cancel common factors, we slash out the numbers.
The result of this operation is 1 it will usually only be listed if all numbers are canceled. We can also simplify a fraction with simple division. We will divide the numerator and denominator by the GCF of the two numbers. Example 1 : Simplify each fraction. We know the GCF of 18 and 20 is 2. If we divide 18 by 2, we get 9. If we divide 20 by 2, we get We know the GCF of 65 and is We also have a chart of fractions with the simplest fraction highlighted.
Hide Ads About Ads. Simplifying Fractions To simplify a fraction, divide the top and bottom by the highest number that can divide into both numbers exactly. Simplifying Fractions Simplifying or reducing fractions means to make the fraction as simple as possible. There are two ways to simplify a fraction: Method 1 Try to exactly divide only whole number answers both the top and bottom of the fraction by 2, 3, 5, 7 ,
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