How do you divide #1\frac { 2} { 7} \div 3\frac { 3} { 7}#?

1 Answer
Jul 16, 2017

Answer:

See a solution process below:

Explanation:

Step 1 First, convert each mixed number into an improper fraction:

#1 2/7 -: 3 3/7 => (1 + 2/7) -: (3 + 3/7) =>#

#([7/7 xx 1] + 2/7) -: ([7/7 xx 3] + 3/7) =>#

#(7/7 + 2/7) -: (21/7 + 3/7) =>#

#9/7 -: 24/7#

Step 2) Rewrite the expression as:

#(9/7)/(24/7)#

Step 3) Use this rule for dividing fractions to evaluate the expression:

#(color(red)(a)/color(blue)(b))/(color(green)(c)/color(purple)(d)) = (color(red)(a) xx color(purple)(d))/(color(blue)(b) xx color(green)(c))#

#(color(red)(9)/color(blue)(7))/(color(green)(24)/color(purple)(7)) => (color(red)(9) xx color(purple)(7))/(color(blue)(7) xx color(green)(24)) => (color(red)(9) xx cancel(color(purple)(7)))/(cancel(color(blue)(7)) xx color(green)(24)) => (color(red)(3) xx color(red)(3))/(color(green)(3) xx color(green)(8)) => (cancel(color(red)(3)) xx color(red)(3))/(cancel(color(green)(3)) xx color(green)(8)) =>#

#3/8#