Question 389661: 1/2 + (2/3 / 3/4)- (4/5* 5/6)=
Answer by haileytucki(390)   (Show Source):
You can put this solution on YOUR website! (1)/(2)+((2)/(3)/(3)/(4))-((4)/(5)*(5)/(6))
To divide by 3, multiply by the reciprocal.
(1)/(2)+(((2)/(3)*(1)/(3))/(4))-((4)/(5)*(5)/(6))
Multiply (2)/(3) by (1)/(3) to get (2)/(9).
(1)/(2)+(((2)/(9))/(4))-((4)/(5)*(5)/(6))
Reduce the expression by removing the common factor of 2 in the denominator of the first term (1)/(4) and the numerator of the second term (2)/(9).
(1)/(2)+((1)/(2)*(1)/(9))-((4)/(5)*(5)/(6))
Multiply (1)/(2) by (1)/(9) to get (1)/(18).
(1)/(2)+((1)/(18))-((4)/(5)*(5)/(6))
Cancel the common factor of 2 from the numerator of the first term (4)/(5) and the denominator of the second term (5)/(6).
(1)/(2)+((1)/(18))-((2)/(5)*(5)/(3))
Reduce the expression by removing the common factor of 5 in the denominator of the first term (2)/(5) and the numerator of the second term (5)/(3).
(1)/(2)+((1)/(18))-(2*(1)/(3))
Multiply 2 by (1)/(3) to get (2)/(3).
(1)/(2)+((1)/(18))-((2)/(3))
Multiply -1 by the (2)/(3) inside the parentheses.
(1)/(2)+(1)/(18)-(2)/(3)
To add fractions, the denominators must be equal. The denominators can be made equal by finding the least common denominator (LCD). In this case, the LCD is 18. Next, multiply each fraction by a factor of 1 that will create the LCD in each of the fractions.
(1)/(18)-(2)/(3)*(6)/(6)+(1)/(2)*(9)/(9)
Complete the multiplication to produce a denominator of 18 in each expression.
(1)/(18)-(12)/(18)+(9)/(18)
Combine the numerators of all fractions that have common denominators.
(1-12+9)/(18)
Combine all like terms in the numerator.
(-2)/(18)
Move the minus sign from the numerator to the front of the expression.
-(2)/(18)
Reduce the expression -(2)/(18) by removing a factor of 2 from the numerator and denominator.
-(1)/(9)
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