Equivalent Fractions
Equivalent Fractions

In order to convert mixed fraction into improper fractions, we may follow the following steps:

Step 1) Obtain the mixed fraction. Let the mixed fraction be \(2\frac{3}{5}\)
Step 2) Identify the whole number and the numerator and denominator of the proper fraction.
Step 3) Multiply the whole number by the denominator of the proper fraction and add the result to the numerator of the proper fraction. .
Step 4) Write the fraction having numerator equal to the number obtained in step (3) and denominator same as the denominator of the fraction in step (2). Thus,

\(Improper fraction = \frac{(Whole number X Denominator) + Numerator}{Denominator}\)

Converting Mixed numbers into Improper fractions Example 1:

Consider the mixed number \(5\frac{2}{3}\).
In order to convert it into an improper fraction, multiply the denominator of the fraction by the whole number and then add the numerator to it.
This forms the numerator of the improper fraction. The denominator remains the same.

The following diagram shows that 1 + 1 + 1 + 1 + 1 + \(\frac{2}{3}\) i.e., \(5\frac{2}{3}\) is same as \(\frac{17}{3}\).

Converting Mixed numbers into Improper fractions Example 2:

Consider the mixed number \(5\frac{2}{6}\).
In order to convert it into an improper fraction, multiply the denominator of the fraction by the whole number and then add the numerator to it.
This forms the numerator of the improper fraction. The denominator remains the same.

The following diagram shows that 1 + 1 + 1 + 1 + 1 + \(\frac{2}{6}\) i.e., \(5\frac{2}{6}\) is same as \(\frac{32}{6}\).

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