How do you divide #3\frac { 5} { 7} \div 2\frac { 7} { 9}#?

2 Answers
Mar 28, 2018

Answer:

#234/175 or 1 59/175#

Explanation:

= #3 5/7=26/7#

= #2 7/9=25/9#

= #26/7/25/9#

= #26/7*9/25#

Multiply straight across:

#234/175 or 1 59/175#

#(=1.337)#

Mar 28, 2018

Answer:

#234/175 or 1 59/175#

Explanation:

The first we thing we need to do to make it easier on us in dividing these mixed-number fractions, it to make them into improper fractions.

The way to make any mixed number into an improper fraction is to follow three easy steps:

  • Multiply the whole number by the denominator

  • Take that number and add it to the numerator

  • Set that number over the original denominator

Knowing this, we can start to find our improper fractions:

#3 5/7 = 26/7# #leftarrowcolor(red)(((3*7)+5)/7#

#2 7/9 = 25/9# #leftarrowcolor(red)(((2*9)+7)/9#

When dividing fractions, we need to remember that we have to change the second fraction into its reciprocal and then multiply.

So, we should now have:

#26/7 divide 25/9 => 26/7 * 9/25#

Multiply across to solve:

#26/7 * 9/25 => (26*9)/(7*25)#

#=234/175 or 1 59/175#