Mixed Numbers and Fractions Greater Than 1

πŸ†Practice mixed number and fraction greater than 1

How do you convert a mixed number to a fraction?

The integer is multiplied by the denominator. The obtained product is then added to the numerator. The final result is placed as the new numerator.
Nothing is changed in the denominator.
A fraction greater than 11 is a fraction whose numerator is larger than the denominator.

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Test yourself on mixed number and fraction greater than 1!

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Write the fraction as a mixed number:

\( \frac{10}{7}= \)

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Fraction greater than one

In this article, we will learn everything necessary about mixed numbers and fractions greater than 11.
We will learn how to convert everything to a fraction, subtract, add, multiply, and compare. All in an easy and efficient way.


What is a mixed number?

A mixed number is a number made up of a whole number and a fraction - hence its name - it combines whole numbers and fractions.
Examples of mixed numbers:
2352\frac {3}{5}, 1121\frac {1}{2}, 4234\frac {2}{3}


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How do you convert a mixed number to a fraction?

Let's see it by practicing

Let's look at this mixed number 2232\frac {2}{3}
To find the numerator we multiply the whole number by the denominator. To the product obtained we add the numerator.
Nothing is modified in the denominator.

We will obtain:

1.a - mixed number


What does a fraction that is greater than 1 look like?

First, let's see what a fraction equivalent to 11 looks like.
A fraction equivalent to 11 is one whose numerator and denominator are equal. For example, 222 \over 2 or 444 \over 4.
A fraction greater than 11 is a fraction whose numerator is larger than the denominator.
Whenever the numerator is larger than the denominator, the fraction will be greater than 11. For example, 323 \over 2

Observe:

Every mixed number is greater than 11 and we can write it in the form of a fraction that is greater than 11.

Practice:
Convert the mixed number 3293 \frac {2}{9} to a fraction greater than 11.
Solution:
We will multiply the whole number by the denominator and add the numerator to the product. We will write the result in the numerator
3Γ—9+2=293 \times 9+2=29
The denominator will not be altered.
We obtain:
29329 \over 3
It is clear that the fraction obtained is greater than 11 –> the numerator is larger than the denominator.


Do you know what the answer is?

How do you convert a fraction greater than 1 into a mixed number?

In certain cases, when we want to find out the number of units or just to order the final result, we prefer to convert a fraction greater than 11 to a mixed number.

We will do it in the following way:
We will calculate how many whole times the numerator fits into the denominator - this will be the whole number.
What remains, we will write in the numerator, and the denominator will remain unchanged (does not change).
Let's learn by practicing:
Here is a fraction greater than 11:
27727 \over 7
To convert it to a mixed number we will divide the numerator by the denominator. Let's ask ourselves how many whole times 77 fits into 2727 ?
We will obtain:
27:7=3…….27:7=3…….
3 times -> this will be the whole number of the result.Β 

Now let's see what remains to complete the numerator 2727.
What is the remainder?
3Γ—7=213 \times 7=21
27βˆ’21=627-21=6

We have a remainder of 66, that is what is placed in the numerator.
The final result is:
277=367\frac {27}{7}=3\frac {6}{7}


Addition and Subtraction

When we talk about addition and subtraction of fractions, the first step is to convert everything to fractions (without whole numbers).
This way we can reach the common denominator and then add or subtract the numerators.

Check your understanding

For example

52+123=\frac {5}{2}+1\frac {2}{3}=
Solution:
Given this addition exercise with a fraction larger than 11 and a mixed number.
The first step is to convert the mixed number to a fraction in the way we have learned before.
It will give us:​ 123=531\frac {2}{3}=\frac {5}{3}

Let's rewrite the exercise:

The first step is to convert the mixed number to a fraction

Now we will find the common denominator by multiplying the denominators and we will get:
156+106=256\frac {15}{6}+\frac {10}{6}=\frac {25}{6}
We can convert the result to a mixed number like this:
4164\frac {1}{6}


Multiplication and Division

When we talk about multiplication and division, indeed, there is no need to find the common denominator, but it is necessary to convert mixed numbers into fractions.
This way, the operations will be carried out easily.

Comparison between a mixed number and a fraction greater than 11
To be able to compare a mixed number and a fraction greater than 11,
The first thing we must do is, clearly, convert the mixed number to a fraction -> that is, a fraction with numerator and denominator.
Then, find the common denominator, only after this can we compare the numerators.

Let's practice:
Mark the corresponding sign <,>,=<,>,=
2336\frac {23}{36}_______________2572\frac {5}{7}

Solution:
We will convert the mixed number to a fraction and rewrite the exercise.
We will obtain:

We will convert the mixed number to a fraction

We will find the common denominator by multiplying the denominators and we will obtain:
16142\frac {161}{42}_______>________11442\frac {114}{42}


Examples and exercises with solutions of mixed number and fraction greater than 1

Exercise #1

Write the fraction as a mixed number:

107= \frac{10}{7}=

Video Solution

Answer

137 1\frac{3}{7}

Exercise #2

Write the fraction as a mixed number:

1210= \frac{12}{10}=

Video Solution

Answer

1210 1\frac{2}{10}

Exercise #3

Write the fraction as a mixed number:

106= \frac{10}{6}=

Video Solution

Answer

146 1\frac{4}{6}

Exercise #4

Write the fraction as a mixed number:

74= \frac{7}{4}=

Video Solution

Answer

134 1\frac{3}{4}

Exercise #5

Write the fraction as a mixed number:

85= \frac{8}{5}=

Video Solution

Answer

135 1\frac{3}{5}

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