You may have answered your own question. Equivalent fractions have common factors. If they don't have common factors, they aren't equivalent.
There are common fractions, improper fractions and equivalent fractions
Fractions don't have common factors. The common factors of 4 and 6 are 1 and 2.
You first convert them to equivalent fractions with a common denominator. Or you convert them to decimal fractions.
The GCF is helpful in reducing fractions. The LCM is helpful in adding and subtracting unlike fractions.
When a fraction is simplified, it is made into an equivalent fraction with no common divisor between the numerator and denominator.
Look for common factors in the numerator and denominator. Divide top and bottom by whatever common factors there are.
You must first convert the fractions to equivalent improper fractions with a common denominator.
To compare two fractions, find a common denominator, then convert each fraction to equivalent fractions with that common denominator. Finally, you compare the numerators. 5/6
You look for a common denominator; convert the fractions to equivalent fractions with the denominator you found; then you do the addition itself.
Convert unlike fractions to equivalent fractions with common denominators by finding the LCM of the denominators.
Multiply them by each other.
To find equivalent fractions, you would first need to put the fraction in its simplest form. In this case, the numerator (3) and the denominator (100) do not have any common factors. Thus the fraction is already in its simplest form. To find equivalent fractions, therefore, we just multiply top and bottom of the fraction by any integer (2, 3, 4...) Do this and the first few equivalent fractions of 3/100 come out as: 6/200, 9/300, 12/400...
If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . To do this, you need to find the least common multiple (LCM) of the two denominators. To add fractions with unlike denominators, rename the fractions with a common denominator. Then add and simplify.
They are useful in reducing fractions and to simplify radicals. They are useful in reducing fractions and to simplify radicals.
Factors and common factors refer to integers, not fractions. The least common factor of any set of positive integers is 1.
If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . To do this, you need to find the least common multiple (LCM) of the two denominators. To add fractions with unlike denominators, rename the fractions with a common denominator.
The three types of fractions are: common, improper or 'top heavy' and equivalent fractions
Finding the greatest common factor helps when you are reducing fractions.
Use the LCM when you are adding and subtracting unlike fractions. Use the GCF when you are simplifying fractions.
No, it is quite possible for the fractions not to have common factors, even if you cross-cancel.
No, they are equivalent fractions.
One common application of greatest common factors is to simplify fractions. Note that you don't necessarily need the GREATEST common factor; you can simplify by dividing both numbers by any common factor, and then continue looking for additional factors.
Find the equivalent fractions with the same denominator (the least common multiple) and then compare the numerators.