Question

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

Answer 1

`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)`

Answer 2

`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`