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# Why is it important to reduce or cancel common factors when possible?

Updated: 12/2/2022

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Q: Why is it important to reduce or cancel common factors when possible?
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### Does cross-cancellation always reduce two fractions?

No, it is quite possible for the fractions not to have common factors, even if you cross-cancel.

### How do you write the Simplest form of fractions?

Factor the numerator and denominator, and then cancel any common factors.

### What is the term used to cancel common factors between top and bottom lines of fractions?

Simplifying the fraction.

### When can you cancel numbers in a fraction?

Whenever there is the same number in the numerator and the denominator, you can cancel both. If the numbers are different, but have a common factor, you can replace each number by its factors, and cancel some of the factors. When nothing is left on the top or on the bottom, you replace by the number 1 - one being the identity element of multiplication.

### What are the common factors of 250?

It is not possible to find common factors for a single number. You need two or more numbers.

### 15 over 16 in lowest terms?

You would find the factors of each and cancel any they have in common. But 15 and sixteen do not have common factors, therefore 15 over 16 is already in lowest terms.

### What are the common factors of 719?

It is not possible to give a sensible answer to this question. The term "common factors" refers to factors that are COMMON to two or more numbers. You have only one number in the question!

### What is 18 over 56 in simple form?

Fractions can be simplified when the numerator and denominator have a common factor in them. If both the numerator and denominator have common factors, then we can cancel these factors out. So the simplest for of 18/56 is 9/28.

### Is it possible to have 2 numbers to have no common factors?

No. Every set of numbers has 1 in common.

### Cancel 18 54?

The idea is to look for common factors, then divide both numbers by such common factors. For a start, it is easy to see that they are both even, i.e., divisible by 2.Another Answer: 18/54 = 1/3

### What are the common factors and greatest common factors of 8?

It is not possible to give a sensible answer to this question. Common factors and the greatest common factor (GCF) refers to a factors that are COMMON to two or more numbers. You have only one number in the question!

### How do you make percentges into fractions?

Divide the percentage by 100. Then reduce to its simplest form (cancel out any common factors between the numerator and the denominator).