SOLUTION: What is the numerical expression 5/8- 5/12(3-1/4)+2/3 equal to? Please help me,if u can,please show me how u got the answer.I tried changing the denominators,but I can't figure ou

Algebra ->  Roman-numerals -> SOLUTION: What is the numerical expression 5/8- 5/12(3-1/4)+2/3 equal to? Please help me,if u can,please show me how u got the answer.I tried changing the denominators,but I can't figure ou      Log On


   



Question 1019475: What is the numerical expression 5/8- 5/12(3-1/4)+2/3 equal to?
Please help me,if u can,please show me how u got the answer.I tried changing the denominators,but I can't figure out the answer.

Found 2 solutions by ankor@dixie-net.com, MathTherapy:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
What is the numerical expression 5/8- 5/12(3-1/4)+2/3 equal to?
:
5%2F8 - 5%2F12%283-%281%2F4%29%29 + 2%2F3
the least common denominator of 8, 12, 3; is 24, so we have
15%2F24 - 10%2F24%283-%281%2F4%29%29 + 16%2F24
combine the first and last fractions
31%2F24 - 10%2F24%283-%281%2F4%29%29
do the math inside the brackets
31%2F24 - 10%2F24%28%2812%2F4%29-%281%2F4%29%29
31%2F24 - 10%2F24%2811%2F4%29
multiply the two fractions
31%2F24 - 110%2F96
The common denominator of these two fractions is 96, so we have
124%2F96 - 110%2F96 = 14%2F96 reduces to 7%2F48

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

What is the numerical expression 5/8- 5/12(3-1/4)+2/3 equal to?
Please help me,if u can,please show me how u got the answer.I tried changing the denominators,but I can't figure out the answer.
5%2F8+-+matrix%281%2C1%2C5%2F12%29+%2A+%283+-+1%2F4%29+%2B+2%2F3
5%2F8+-+matrix%281%2C1%2C5%2F12%29+%2A+%282%263%2F4%29+%2B+2%2F3 ------ Applying PEMDAS
5%2F8+-+matrix%281%2C1%2C5%2F12%29+%2A+%2811%2F4%29+%2B+2%2F3 ------ Applying PEMDAS
5%2F8+-+55%2F48+%2B+2%2F3
30%2F48+-+55%2F48+%2B+32%2F48 --------- Multiplying all fractions by LCD, 48
highlight%28highlight_green%28highlight%287%2F48%29%29%29