Answers

2015-01-13T14:13:30+08:00
*probably you meant tenths

Writing this in equation form, this would be 4/9=x/10
Similarly, in ration form, this would be 4:9=x:10
But lets solve by the LCM or least common multiple

1.) Find the Least common Multiple of 9 and 10
9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, etc.
10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, etc.
From the listing method, we get the LCM which is 90.

2) Knowing what number to multiply
Knowing that we have 90 as our LCM, we want to convert the denominators (9 and 10) into 90.
We can do this by dividing 90 by 9 and dividing 90 by 10
Calculating, we have 90 divided by 9 = 10
Also, we have 90 divided by 10 = 9

3) Multiplying numerators to our previous answers
Now our goal is to make equivalent fractions with multiplications. From the answers we go from Step 2, we multiply them to their respective fractions.
For the fraction 4/9, we have 9x10=90, so we should have 4x10=40
For the fraction x/10, we have 10x9=90, so we should have x times 10= 10x
Now, our fractions are: 4/9=40/90, and x/10=9x/90

4) Making the numerators equal (now that we have the same denominator)
Now that we haveĀ  the same denominator, we may now equate the two numerators.
Furthermore, from 40/90=9x/90
40=9x (equal of numerator)
9x=40
x=40/9!!!

Simply say:

4:9=x:10
9x=40
x=40/9= 4 4/9

Precisely, there are 4 and 4/9 tenths in 4/9

[[Rounded off, there are 4 tenths in 4/9]]
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