If you wanted find the difference of 6/25 - 4/5 , what common denominator should you choose?and why?
Look at the multiples of 5: 5, 10, 15, 20, 25, 30
Which of those is also divisible by 25?
So 5 would be the common denominator?
No. 5 is not divisible by 25. The common denominator is 25.
4/5 = 20/25
25/5 = 5
5 * 4 = 20
To find the difference between two fractions, you need to have a common denominator. A common denominator is a common multiple of the denominators of the fractions you're subtracting.
In this case, the denominators are 25 and 5. To find the least common denominator (LCD), you can either find the least common multiple (LCM) of 25 and 5, or choose a multiple that works for both denominators.
The LCM of 25 and 5 is 25, so this can be a common denominator. However, it's usually more convenient to choose the smaller denominator as the common denominator, which in this case is 5.
By choosing 5 as the common denominator, you can rewrite the fractions as follows:
6/25 = (6 * 1)/(25 * 1) = 6/25
4/5 = (4 * 5)/(5 * 5) = 20/25
Now that both fractions have the same denominator, you can subtract them:
6/25 - 4/5 = (6 - 20)/25 = -14/25
Therefore, by choosing 5 as the common denominator, you can subtract 6/25 and 4/5 to get -14/25.