Given:
The answer must be equivalent to
To solve this, we can use a proportion.
You find a number that you can divide the denominator and numerator by and then you divide it by that number until you cant divide it no more.
In the above context we have;
Divide both the numerator and denominator by the HCF.
IN this case:
You need to multiply the numerator and denominator by the same number.
A few thoughts...
Here are a few ideas:
If you know that
If you know that
Notice that
Add
The other way round, we could count the number of times we need to subtract
I have one thought to add to George's excellent answer.
And I can reduce the fraction because both numbers are even:
If I notice that
And finish with
See a solution process below:
First, using the standard order of operation or PEDMAS, execute the operations with the Parenthesis first:
Next, execute the Multiplication and Division operations left to right:
or
or
The question essentially asks what is
So,
The key point you need to note in this question is the phrase, times smaller, which tells you that the answer is
For future reference, any question following this format you'll need to use division.
180
Find the unique prime factors for each number and multiply the factors together.
There are two factors of 2 needed ( the factor of 2 for 18 is a repeat.)
There are two factors of 3 needed ( the factors of 3 in 12 and 45 are repeats.)
There is one unique factor of 5
Multiplying the non repeated or unique factors gives.
The Least Common Multiply
See a solution process below:
First, we can write
So, first we can add the
If
We can now add the 15 minutes to the result we had from the previous step giving: