Fractions
Prerequisites¶
Make sure to complete following prerequisites first -
Types of Fractions¶
3-types:
- Proper Fractions
- Improper Fractions
- Mixed Fractions
1. Proper Fractions¶
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When numerator is smaller than denominator in a fraction, then it is called a Proper fraction. $$ Numerator < Denominator $$
Examples are -
\(\frac{2}{5}\), \(\frac{4}{15}\), \(\frac{7}{9}\)
2. Improper Fractions¶
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When numerator is greater than denominator in a fraction, then it is called a Improper fraction. $$ Numerator > Denominator $$
Examples are -
\(\frac{5}{2}\), \(\frac{15}{4}\), \(\frac{9}{7}\)
3. Mixed Fractions¶
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Mixed fractions have 2 components - a natural number and a Proper fraction.
Example - $$ 2\frac{3}{5} $$
Here, 2 is a natural number, 3 is numerator of fraction and 5 is denominator of fraction.
Convert Mixed Fractions to/from Improper Fractions¶
Mixed fractions can be converted into Improper fractions and vice-versa.
Converting Mixed Fractions to Improper Fractions¶
Steps -
- Multiply denominator with natural number and add the product to the numerator to get a new numerator.
- Use the same denominator as of original denominator of your mixed fraction.
Example -
step 1. 5 x 2 = 10. 10 + 3 = 13. New numerator is 13.
step 2. use 5 as your denominator.
Converting Improper Fractions to Mixed Fractions¶
Steps -
- Divide numerator with denominator to find quotient (answer) and remainder. Quotient is your natural number and remainder is your new numerator.
- Use the same denominator as of original denominator of your Improper fraction.
Example -
step 1. Divide 13 by 5 to get quotient and remainder. you will get Quotient = 2 and Remainder = 3. 2 will be your natural number and 3 will be your numertor for the mixed fraction.
step 2. use 5 as your denominator.