Use the common denominator method to solve 3/5 divided by 2/3
Perhaps I am missing something, but I do not see a common denominator, nor is it necessary for a division.
(3/5)÷(2/3)
=(3/5)*(3/2)
=(3*3)/(5*2)
=9/10
Isn't the common denominator 15
Since it is a division, the denominator
of the product is 5*2=10, and the numerator is 3*3=9.
I would not call it a common denominator because it is part of the product, and is not part of the original fractions.
If we are adding 3/5 to 2/3, then we will need a common denominator of 15 as follows:
3/5 + 2/3
= 9/15 + 10/15
= (9+10) / 15
= 19/15
= 1 4/15
Here 15 appears as the denominator of both fraction immediately before the addition of the numerators. Otherwise we cannot simply add the numerators.
To solve the division of fractions using the common denominator method, follow these steps:
Step 1: Find the common denominator.
To start, we need to find the least common multiple (LCM) of the denominators 5 and 3. In this case, the LCM is 15.
Step 2: Modify the fractions.
We will modify both fractions so that they have a common denominator of 15. To do this, we need to multiply the numerator and denominator of each fraction by the same value that will make the denominator equal to 15.
For the first fraction:
(3/5) * (3/3) = 9/15
For the second fraction:
(2/3) * (5/5) = 10/15
Step 3: Divide the fractions.
Now that both fractions have a common denominator of 15, we can divide them.
(9/15) ÷ (10/15) = 9/15 * 15/10
= 135/150
Step 4: Simplify the resulting fraction.
To simplify the fraction, we can find the greatest common divisor (GCD) of the numerator and denominator of 135/150, and divide both by that value.
The GCD of 135 and 150 is 15, so if we divide both by 15, we get:
135/150 ÷ 15/15 = 9/10
Therefore, the result of 3/5 divided by 2/3 using the common denominator method is 9/10.