What is 3/14 minus 3/7 in simplest form
1 answer:
Step 1. Find the Least Common Denominator (LCD) of 
Method 1: By Listing MultiplesList out all multiples of each denominator, and find the first common one.
Multiples of 14 : 14,......
Multiples of 7 : 7, 14, ......
Therefore, the LCD is 14.
Method 2: By Prime FactorsList all prime factors of each denominator, and find the union of these primes.
Prime Factors of 14 : 2, 7
Prime Factors of 7 : 7
Therefore, the LCD is
<span>LCD = 14
Step 2. Make the denominators the same as the LCD
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Step 3. </span><span>Simplify. Denominators are now the same
</span>
Step 4. Join the denominators
Step 5. Simplify
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</span>
Done!
Decimal Form If Needed: <span>-0.214286</span>
Method 1: By Listing MultiplesList out all multiples of each denominator, and find the first common one.
Multiples of 14 : 14,......
Multiples of 7 : 7, 14, ......
Therefore, the LCD is 14.
Method 2: By Prime FactorsList all prime factors of each denominator, and find the union of these primes.
Prime Factors of 14 : 2, 7
Prime Factors of 7 : 7
Therefore, the LCD is
<span>LCD = 14
Step 2. Make the denominators the same as the LCD
</span>
<span>
Step 3. </span><span>Simplify. Denominators are now the same
</span>
Step 4. Join the denominators
Step 5. Simplify
<span>
</span>
Done!
Decimal Form If Needed: <span>-0.214286</span>
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Given that type A coffee costs $4.15 per pound
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Given that type B coffee costs $5.25 per pound
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Given that type A coffee costs $4.15 per pound
(4.15x)
Given that type B coffee costs $5.25 per pound
(5.25y)
And that the total cost of it all was $642.60
Also, the amount of pounds, represented by x and y add up to 150 pounds total: