It isn't always strictly necessary; but imagine putting the result of some complicated calculations as 335/670. Anybody might ask, "why didn't you write this as 1/2?" It is usually preferable, easier to understand, if the result is as simple as possible. In the case of fractions, this means reducing the fraction by taking out any common factors.
To put 410 in the lowest terms, you need to find the greatest common divisor (GCD) of 410 and reduce the fraction by dividing both the numerator and denominator by the GCD. Since 410 is a prime number, the lowest terms for 410 would be 410/1.
By finding the lowest common multiple of the fractions with different denomiators that need to be added or subtracted
63/78. You need to find a common factor of 63 and 78 and divide the fractions until they no longer have factors in common. Both 63 and 78 are divisible by 3. 21/26. 21 and 26 have no common factors so 21/26 is the lowest/simplest form.
To express 1018 in its lowest terms, we need to find the greatest common divisor (GCD) between 1018 and any other number. Since 1018 is even, it is divisible by 2. Therefore, 1018 in lowest terms is 509/2.
I really don't know but someone should answer it because I need the answer
When adding or subtracting fractions with different denominators and when reducing fractions to their lowest terms
Fractions and ratios sometimes need to be reduced to lower terms. Numbers never do. In fact, "lowest terms" is meaningless when you're talking about a number.
Sometimes it is easier to work with fractions that are not reduced. For example, if you wanted to compare whether 6/10 or 13/20 was larger, you would not need to reduce 6/10; in fact you would want to rewrite 6/10 as 12/20 so you could compare.
0.75
The hcf is useful in reducing fractions to their lowest terms and the lcm is useful in finding the lowest common denominator of fractions that have different denominators that need to be added or subtracted.
To put 410 in the lowest terms, you need to find the greatest common divisor (GCD) of 410 and reduce the fraction by dividing both the numerator and denominator by the GCD. Since 410 is a prime number, the lowest terms for 410 would be 410/1.
It helps to reduce fractions.
When you need to reduce fractions.
When reducing fractions to their lowest terms
0.3125 = 5/16
You need to learn it, so you can learn Greatest Common Factor, which you need to reduce fractions.
By finding the lowest common multiple of the fractions with different denomiators that need to be added or subtracted