expressions..

Find the value of each expression.

a) 1/3 - (-3/4)


b) 2/3 (-3/5)


c) 2/3 - 4/5


d) -4/7 * 5/8


e) 1 2/3 * 4


f) -1 1/4 (-2 4/7)

a)
1/3 - [-3/4] remove bracket
1/3+3/4 place over common denominator 12
4/12 +9/12 simplify
[4+9] / 12
13/12 answer but improper fraction
1 1/12 answer

b)
2/3[-3/5] remove bracket
-2*3 / 3*5 simplify
-2/5 answer

c)
2/3 - 4/5 place over common denominator 15
10/15 - 12/15 simplify
[10-12] / 15
-2/15 answer

d)
-4/7 * 5/8 multiply
-20/56
by basic algorithim of arithmetic write each term as product of primes
-[ 2*2*5] / [2*2*2*7] reduce
-5/14 answer

e)
1 2/3 *4 write both terms as improper fractions
5/3 *4/1 multiply
[5*4] / [3*1]
20 / 3 answer but improper fraction
6 2/3 answer

f)
[-1 1/4] [-2 4/7] rewrite as improper fractions
[-5/4] [ - 18/7] clear brackets
5*18 / 4*7 because - times - = + simplify
90/ 28
by basic algorithim of arithmetic write each term as product of primes
[2*3*3*5] / [2*2*7] reduce
[3*3*5]/[2*7]
45/14 answer but improper fraction
3 3/14 answer
Arthur