How many equal sections divide a directed line segment if it is to be partitioned with a 9:129:12 ratio?

Question

518nad · Answer

okay first can we simplify this ratio down?

518nad · Answer

hey?

518nad · Answer

are you there?

kaydra14 · Answer

yes

518nad · Answer

okay lets start with simplifying this ratio down

518nad · Answer

3 is common in all 3 numbers factor 3 out

518nad · Answer

3*3:3*43:3*4
=3:43:4

mathmale · Answer

In this problem we're partioning (dividing up) a directed line segment in the ratio 9:129:12.  Each partition is to have the same length.  You cannot tell one partiion from another.  Think:  9 partitions plus 129 more, identical partitions, plus 12 more, identical partitions.  How many partitions will there be, altogether?


Now suppose the question were different:  "What fraction of the total number of partitions constitutes the first 9 partitions?

You'd add up the counts representing the 3 partitions and divide that 9 by that sum.  What is the sum?  What is the ratio 9:sum?

Here's where Dan's suggestion makes sense.  9/sum would be the same ratio AFTER factoring out the common ratio, 3.

Experiment with this.  Try to answer the original question first.  If you're still unsure, ask a clarifying question or two.

sshayer · Answer

$$\frac{ 9 }{ 129 }=\frac{ 12 }{ x },9x=129 \times 12,x=?$$