# What is the extension of 1 + x 2

## Calculator: Expand fractions

### Types of calculations

### 1. Expand fraction with number

A fraction is given as well as an expansion number. In this case, the numerator and denominator of the fraction must each be multiplied by the expansion number. As an example we take the extension number 3:

$$ \ frac {1} {5} = \ frac {1 · \ textcolor {# 00F} {3}} {5 · \ textcolor {# 00F} {3}} = \ frac {3} {15} $$

### 2. Determine the enlargement number

In this case we are given a fraction and an expanded fraction. We now need to determine what the expansion number was. We can do this by dividing the two numerators or the two denominators. Example exercise (the x is the unknown expansion number):

$$ \ frac {3} {5} = \ frac {3 · \ textcolor {# 00F} {x}} {5 · \ textcolor {# 00F} {x}} = \ frac {12} {20} $$

Now we can either use the numerators with: x = 12: 3 = 4. Or we consider the denominators: x = 20: 5 = 4. In both cases the same number must come out, in this example it is x = 4.

The sample is right:

$$ \ frac {3} {5} = \ frac {3 · \ textcolor {# 00F} {4}} {5 · \ textcolor {# 00F} {4}} = \ frac {12} {20} $$

### 3. Determine the numerator or denominator of the expanded fraction

It can happen that we have not given either a numerator or a denominator and that the expansion number is also missing. For a missing counter it would look like this:

$$ \ frac {3} {7} = \ frac {3 · \ textcolor {# 00F} {x}} {7 · \ textcolor {# 00F} {x}} = \ frac {\ textcolor {# F00} { y}} {14} $$

The original denominator is given with 7 and the expanded denominator with 14. With this we can determine the expansion number with: x = 14: 7 = 2. In the next step we use the calculated expansion number to determine the numerator: 3 · 2 = 6 In summary, we hold the solution:

$$ \ frac {3} {7} = \ frac {3 · \ textcolor {# 00F} {2}} {7 · \ textcolor {# 00F} {2}} = \ frac {\ textcolor {# F00} { 6}} {14} $$

We proceed in the same way with the determination of a missing denominator. First determine the expansion number from numerators, then calculate the missing denominator.

$$ \ frac {4} {11} = \ frac {4 · \ textcolor {# 00F} {x}} {11 · \ textcolor {# 00F} {x}} = \ frac {20} {\ textcolor {# F00} {y}} \ quad \ rightarrow \ textcolor {# 00F} {x} = 20: 4 \ textcolor {# 00F} {= 5} \ quad \ rightarrow \ textcolor {# F00} {y} = 11 · \ textcolor {# 00F} {5} = \ textcolor {# F00} {55} $$

Solution:

$$ \ frac {4} {11} = \ frac {4 · \ textcolor {# 00F} {5}} {11 · \ textcolor {# 00F} {5}} = \ frac {20} {\ textcolor {# F00} {55}} $$

- Which countries and religions do not celebrate Christmas?
- What's your FMGE story
- What would put us off about ancient Rome?
- What do Vietnamese think of Pakistan?
- Conservatives agree to collapsed responses to Quora
- What are the dimensions of a lot
- Who taught you how to love
- How do I put Quora questions together

- What are 3 types of motor controllers
- How many pounds is 1 gallon
- How many lines of code in Spotify
- Who is the best writer in usa
- Is the US Army a good career
- How exactly does your affiliate program work
- Rank Google personal CMS blogs
- How much revenue is Airbnb
- How do we test for pancreatic cancer
- What are some epic tweets in India
- Why was KFC China bought by the Chinese?
- Which websites can you sell things on
- Who will benefit from the revenue from space mining
- What is MLE in statistics
- What is a customer journey map
- How do you gain parental respect
- How can I study at Harvard
- What is BPO in the call center
- How is the ranking at FMS DU
- What is a macro in C ++
- How many atoms does aluminum chloride contain?
- Parents find their children ugly
- Why has Malaysia fallen far behind Singapore?
- Who are you Quora