Fractions
Let us first understand what fractions are.
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Types of Fractions
Let's now look at the types of fractions that we have.
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Equivalent Fractions
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Simplifying Fractions
When solving questions in Mathematics, it is always best practice to leave fractions in their simplest form.
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Converting Fractions
How to Convert Mixed Fractions to Improper Fractions
Example 1
Convert \(2\frac{1}{3}\) to an improper fraction.
Solution
Let's follow the steps outlined above.
Mixed fraction given \(\Rightarrow 2\frac{1}{3}\)
The whole number part \(= 2\)
The fraction part \(= \frac{1}{3}\)
Step 1:
Multiply the whole number by the denominator of the fraction.
\(2 \times 3 = 6\)
Step 2:
Add the numerator of the fraction to the result.
\(6 + 1 = 7\)
Step 3:
Place the sum over the original denominator.
\(\Rightarrow \frac{7}{3}\)
\(\therefore \ \ \mathbb{2\frac{1}{3} = \frac{7}{3}}\)
How to Convert An Improper Fraction to a Mixed Fractions
Example 1
Convert \(\frac{7}{3}\) to a mixed fraction.
Solution
Let's follow the steps outlined above.
Improper fraction given \(\Rightarrow\) \(\frac{7}{3}\)
Step 1:
Divide the numerator by the denominator.
\(7 \div 3 = 2\) remainder 1
Step 2:
The quotient is the whole number part, and the remainder becomes the numerator of the fraction part.
Quotient \(\Rightarrow 2\)
remainer \(\Rightarrow 1\)
Step 3:
Keep the original denominator.
Original denominator \(\Rightarrow 3\)
\(\therefore \frac{7}{3} = 2\frac{1}{3}\)
Practice Questions
Practice the questions below using the steps outlined above.
1. Convert \(3\frac{2}{5}\) to an improper fraction.
2. Convert \(\frac{11}{4}\) to a mixed fraction.
3. Convert \(5\frac{3}{7}\) to an improper fraction.
4. Convert \(4\frac{3}{8}\) to an improper fraction.
5. Convert \(\frac{13}{5}\) to a mixed fraction.
6. Convert \(6\frac{5}{9}\) to an improper fraction.
7. Convert \(\frac{22}{7}\) to a mixed fraction.
8. Convert \(3\frac{4}{5}\) to an improper fraction.
9. Convert \(\frac{17}{6}\) to a mixed fraction.
10. Convert \(5\frac{2}{3}\) to an improper fraction.
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