Question

Multiply. −1/2⋅3/4 −2/3 −3/8 3/8 2/3

Answer 1

Answer:

-3/8

1/4

1/4

Step-by-step explanation:

1:   -1/2•3/4 =  1•3 (numerator) and 2•4 (denominator) and the product is negative (since you are multiplying a positive and a negative number).  You get 3 for numerator and 8 for denominator — -3/8.  Check to see if it can be reduced further and it cannot.  So it’s -3/8.

2: -2/3•-3/8 = -2•-3= 6 (numerator) and 3•8=24 (denominator).  That’s 6/24.  Check to see if it can be reduced.  It can!  So 6/24 reduces to 1/4 ( GCF of 6 and 24 is 6 so you divide the numerator and denominator separately by the GCF of 6 which 6÷6=1 (numerator) and 24÷6=4 (denom) so it’s 1/4).  Note the sign of the product is positive since it’s a negative times a negative would give a positive answer.

3: 3/8•2/3 = 3/8•2/3 = 3•2/8•3 = 6/24 and reduces to 1/4 as noted above.  Positive times a positive is positive.