To write: The two other true proportions for \frac{9}{15}=\frac{3}{5}.

allhvasstH 2021-08-14 Answered
To write:
The two other true proportions for \(\displaystyle{\frac{{{9}}}{{{15}}}}={\frac{{{3}}}{{{5}}}}\).

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Willie
Answered 2021-08-15 Author has 26956 answers
Approach:
A proportion is true, if its ratios are equal. As ratios are fractions, one way to determine whether the given proportion is true or false by writting both the ratios in simplest form. Another way is by comparing their cross product.
If the cross product are equal, then the proportion is said to be true. If cross product are not equal, then the proportion is false.
Calculation:
If two ratios are equal in a proportion, then it is called a true proportion.
If it is a true proportion, their cross product are equal.
\(\displaystyle{\frac{{{9}}}{{{15}}}}={\frac{{{3}}}{{{5}}}}\)
\(\displaystyle{9}\times{5}={15}\times{3}\)
Therefore, the two other true proportions will be
\(\displaystyle{\frac{{{15}}}{{{5}}}}={\frac{{{9}}}{{{3}}}}\) and \(\displaystyle{\frac{{{15}}}{{{9}}}}={\frac{{{5}}}{{{3}}}}\)
Final statement:
The two other true proportion are \(\displaystyle{\frac{{{15}}}{{{5}}}}={\frac{{{9}}}{{{3}}}}\) and \(\displaystyle{\frac{{{15}}}{{{9}}}}={\frac{{{5}}}{{{3}}}}\)
Not exactly what you’re looking for?
Ask My Question
33
 
content_user
Answered 2021-12-17 Author has 11052 answers

Answer is given below (on video)

0

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more
...