How do you evaluate #(\frac { 3} { 5} - \frac { 1} { 2} ) ( 6- 7\frac { 1} { 2} )#?

2 Answers
Apr 5, 2017

#-3/20#

Explanation:

This question is a little tricky because the values given are in fractions, mixed fractions and integers. Transfer all values into a fraction

#[(3/5)-(1/2)]*[(12/2)-(15/2)]#

Find common denominators for both brackets (do so by multiplying the numerator and denominator)

#[((3*2)/(5*2))-((1*5)/(2*5))]*[(12/2)-(15/2)]#

#[((6)/(10))-((5)/(10))]*[(12/2)-(15/2)]#

Simplify,

#(1/10)*(-3/2)#

Multiply and the answer is,

#-3/20#

Apr 7, 2017

#-3/20#

Explanation:

#(3/5-1/2)(6-7 1/2)#

#:.=((6-5)/10)(-1 1/2)#

#:.=1/10 xx -3/2#

#:.=-3/20#