What is #\frac { \frac { 1} { 3} } { \frac { 3} { 9} }#?
3 Answers
The answer is
Explanation:
There are a couple of ways to go about simplifying this number. The first way is to remember that "dividing" is the same thing as "multiplying by the reciprocal". (The reciprocal is the number you get when you take a fraction and swap the numerator and denominator.) For example: dividing by
Using this, we get
We could also recognize that the denominator
And any nonzero number divided by itself will be 1, so we get
A different approach. Tends not to be used as the shortcut method is very much faster. Explained why the shortcut method works.
Explanation:
A fractions structure is such that you have:
You can not
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The shortcut method adopts a sort of 'indirect division' in that first it divides the counts then multiplies by a conversion factor.
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Initial condition:
Multiply by 1 and you do not change the value of the fraction. However, 1 comes in many forms.
Now the 'size indicators' (denominators) are the same you can directly divide the counts;
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Turn the divisor upside down and multiply:
This is the same as:
1
Explanation:
What the problem is asking you is what is how many