4/9÷1 7/15 Item 8
Divide. Write the answer in simplest form.

9514 1404 393

  10/33

Step-by-step explanation:

The usual approach (if your calculator won't do this for you) is to convert the mixed number to an improper fraction, then perform the division. That division can be accomplished by multiplying the numerator by the inverse of the denominator.

  1 7/15 = (15+7)/15 = 22/15

Then ...

  (4/9)/(22/15) = (4/9)(15/22) = (2·2·3·5)/(3·3·2·11) = (2·5)/(3·11) = 10/33

Alternate solution

Both fractions can be given the same denominator:

  4/9 = 20/45

  1 7/15 = 22/15 = 66/45

Now, the division is ...

  (20/45)/(66/45) = 20/66 = 10/33

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

dude thats to long figure it

step-by-step explanation: