Question

Express -3/7 as a rational number with:
(a) numerator=15
(b)numerator= -21
(c) denominator=14
(d) denominator= -35

Answer 1

Answer:

(-3/7)

(a) numerator to be 15; multiply and divide with -5

(-3/7)*(-5/-5) = (-3)(-5)/(7)(-5) = 15/(-35) = (15/-35)

(b) numerator to be -21; multiply and divide with 7

(-3/7)*(7/7) = (-3)(7)/(7)(7) = (-21)/(49) = (-21/49)

(c) denominator to be 14; multiply and divide with 2

(-3/7)*(2/2) = (-3)(2)/(7)(2) = (-6)/(14) = (-6/14)

(d) denominator to be -35; multiply and divide with -5

(-3/7)*(-5/-5) = (-3)(-5)/(7)(-5) = (15)/(-35) = (15/-35)

Hope this helps you...