Basic Math Examples

Arrange in Order 2/3 , 13/18 , 7/9 , 5/6
, , ,
Step 1
Write all of the fractions over the common denominator.
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Step 1.1
Find the LCM for the denominators of .
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Step 1.1.1
The LCM is the smallest positive number that all of the numbers divide into evenly.
1. List the prime factors of each number.
2. Multiply each factor the greatest number of times it occurs in either number.
Step 1.1.2
Since has no factors besides and .
is a prime number
Step 1.1.3
The prime factors for are .
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Step 1.1.3.1
has factors of and .
Step 1.1.3.2
has factors of and .
Step 1.1.4
has factors of and .
Step 1.1.5
has factors of and .
Step 1.1.6
The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either number.
Step 1.1.7
Multiply .
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Step 1.1.7.1
Multiply by .
Step 1.1.7.2
Multiply by .
Step 1.2
Multiply each number by , where is a number that makes the denominator .
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Step 1.2.1
Divide by .
Step 1.2.2
Multiply the numerator and denominator of by .
Step 1.2.3
Multiply by .
Step 1.2.4
Multiply by .
Step 1.2.5
Divide by .
Step 1.2.6
Multiply the numerator and denominator of by .
Step 1.2.7
Multiply by .
Step 1.2.8
Multiply by .
Step 1.2.9
Divide by .
Step 1.2.10
Multiply the numerator and denominator of by .
Step 1.2.11
Multiply by .
Step 1.2.12
Multiply by .
Step 1.2.13
Divide by .
Step 1.2.14
Multiply the numerator and denominator of by .
Step 1.2.15
Multiply by .
Step 1.2.16
Multiply by .
Step 1.2.17
Write the new list with the same denominators.
Step 2
Since the denominators are equal, arrange the numerators.
Step 3
Replace the fractions with the original fractions.