Question

3. When reducing a ratio or fraction to its simplest form, it is necessary to find the __________________for both terms in the ratio or fraction.

Answer 1

Answer:

When reducing a ratio or fraction to its simplest form, it is necessary to find the greatest, or highest, common factor for both terms in the ratio or fraction.

Step-by-step explanation:

Reducing Ratios to Simplest Form

In order to reduce a ratio, or fraction, to its simplest form, it is necessary to find the greatest, or highest, common factor for both terms in the ratio or fraction. The greatest common factor of two numbers is the largest number that will divide into both terms evenly.

Answer 2

Answer: When reducing a ratio or fraction to its simplest form, it is necessary to find the greatest, or highest, common factor for both terms in the ratio or fraction.

Step-by-step explanation:

• The greatest common factor of two numbers is the largest number that will divide into both terms evenly.
  
• A common factor is a whole number which is a factor of two or more numbers.A fraction is said to be in the simplest (or lowest) form if its numerator and denominator have no common factor except 1.
  
• To reduce a fraction to its simplest form we find the HCF of the numerator and the denominator, and then divide both of them by the HCF.
  
• We can also do the prime factorisation of both the numerator and the denominator and cancel out all the common prime factors.
  

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