SOLUTION: can someone please help me solve the following problems Solve the following: 1. 2/7 - 1/3 = ? 2. 4/5 x 15/2 = ? 3. 2 1/2 ÷ 3/4 = ?

Algebra ->  Real-numbers -> SOLUTION: can someone please help me solve the following problems Solve the following: 1. 2/7 - 1/3 = ? 2. 4/5 x 15/2 = ? 3. 2 1/2 ÷ 3/4 = ?       Log On


   

Question 175472: can someone please help me solve the following problems

Solve the following:
1. 2/7 - 1/3 = ?
2. 4/5 x 15/2 = ?
3. 2 1/2 ÷ 3/4 = ?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Fractions Solver


2%2F7-1%2F3 Start with the given expression




In order to subtract these two fractions, these fractions need to have a common denominator.


In order to do that, we simply find that the LCM of 7 and 3 is 21 (note: if you need help with finding the LCM, check out this solver)


Now we need to get each denominator to 21



%283%2F3%29%282%2F7%29-1%2F3 Multiply 2%2F7 by %283%2F3%29


6%2F21-1%2F3 Multiply 2%2F7 and %283%2F3%29 to get 6%2F21



6%2F21-%287%2F7%29%281%2F3%29 Multiply 1%2F3 by %287%2F7%29


6%2F21-7%2F21 Multiply 1%2F3 and %287%2F7%29 to get 7%2F21



Since both fractions have a common denominator of 21, we can now combine the fractions


%286-7%29%2F21 Combine the fractions


-1%2F21 Subtract the numerators



So

2%2F7-1%2F3=-1%2F21




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Solved by pluggable solver: Fractions Solver


%284%2F15%29%285%2F2%29 Start with the given expression



In order to multiply these fractions, simply multiply the numerators and denominators separately like this:


%284%2A5%29%2F%2815%2A2%29 Multiply the numerators 4 and 5. Place them as the numerator. Multiply the denominators 15 and 2. Place them as the denominator


20%2F30 Now multiply



So


%284%2F15%29%285%2F2%29=20%2F30





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Note: 2%261%2F2=5%2F2. So this means that 5/2 ÷ 3/4 is identical to 2 1/2 ÷ 3/4

Solved by pluggable solver: Fractions Solver


%285%2F3%29%2F%282%2F4%29 Start with the given expression



In order to divide these fractions, first we need to flip the second fraction 2%2F4 to get 4%2F2.


Now multiply the first fraction 5%2F3 by the second fraction 4%2F2


%285%2F3%29%284%2F2%29


Now simply multiply the numerators and denominators separately like this:


%285%2A4%29%2F%283%2A2%29 Multiply the numerators 5 and 4. Place them as the numerator. Multiply the denominators 3 and 2. Place them as the denominator


20%2F6 Now multiply



So


%285%2F3%29%2F%282%2F4%29=20%2F6