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12/5 as a mixed number.

How to represent the given improper fraction as a mixed number.

The main objective of this question is to represent the given improper fraction as a mixed number.

This question uses the concept of improper fractions and mixed numbers. In an improper fraction, the value of the numerator is always greater than the value of the denominator or it is equal to the value of the denominator.

Expert Answer

We have to represent the given improper fraction as a mixed number.

The given improper fraction is:

\[= \space \frac{12}{5}\]

It is an improper fraction as the value of the numerator is greater than the value of the denominator.

We can represent this improper fraction as:

\[=\space\frac{10 \space + \space 2}{5} \space \]

Separating the term results in:

\[= \space \frac{10}{5} \space + \space \frac{2}{5} \space\]

Now:

\[= \space \frac{10}{5} \space\]

\[= \space 2 \]

Now it can be written as:

\[= \space  2 \space + \space \frac{2}{5} \space \]

So, combining it will result in:

\[= \space  2  \frac{2}{5} \space \]

Hence, the mixed number is $2 \frac{2}{5}$.

Numeric Answer

The given improper fraction $\frac{12}{5 }$ can be represented as the mixed number $2\frac{2}{5}$.

Example

Represent the given improper fractions as mixed numbers.

  1. \[= \space \frac{22}{5}\]
  2. \[= \space \frac{32}{5}\]
  3. \[= \space \frac{42}{5}\]

We have to represent the given $3$ improper fraction as a mixed number.

The first given improper fraction is:

\[= \space \frac{22}{5}\]

It is an improper fraction as the value of the numerator is greater than the value of the denominator.

We can represent this improper fraction as:

\[=\space\frac{20 \space + \space 2}{5} \ space \]

Separating the term results in:

\[= \space \frac{20}{5} \space + \space \frac{2}{5} \space\]

Now:

\[= \space \frac{20}{5} \space\]

\[= \space 4 \]

Now it can be written as:

\[= \space  4 \space + \space \frac{2}{5} \space \]

So, combining it will result in:

\[= \space  4  \frac{2}{5} \space \]

The second given improper fraction is:

\[= \space \frac{32}{5}\]

It is an improper fraction as the value of the numerator is greater than the value of the denominator.

We can represent this improper fraction as:

\[=\space\frac{30 \space + \space 2}{5} \ space \]

Separating the term results in:

\[= \space \frac{30}{5} \space + \space \frac{2}{5} \space\]

Now:

\[= \space \frac{30}{5} \space\]

\[= \space 6 \]

Now it can be written as:

\[= \space  6 \space + \space \frac{2}{5} \space \]

So, combining it will result in:

\[= \space  6  \frac{2}{5} \space \]

The third given improper fraction is:

\[= \space \frac{42}{5}\]

It is an improper fraction as the value of the numerator is greater than the value of the denominator.

We can represent this improper fraction as:

\[=\space\frac{40 \space + \space 2}{5} \ space \]

Separating the term results in:

\[= \space \frac{40}{5} \space + \space \frac{2}{5} \space\]

Now:

\[= \space \frac{40}{5} \space\]

\[= \space 8 \]

Now it can be written as:

\[= \space  8 \space + \space \frac{2}{5} \space \]

So, combining it will result in:

\[= \space  8  \frac{2}{5} \space \]

5/5 - (19 votes)