Question

How do I find the ratio of the shortest side to the longest side if my numbers are 18 3/5, 9, 21. Then write the ratio in lowest terms with whole numbers in the numerator and denominator. (Show steps, please and thank you!)

Answer 1

We are given
\[18 \frac{3}{5}, 9, 21\]
These are the three sides of a triangle. Let's first convert the mixed fraction into a decimal number
\[18\frac{3}{5}= 18+\frac{3}{5}= 18 \times \frac{5}{5}+\frac{3}{5}=>\frac{90}{5}+\frac{3}{5}\]
we get
\[\frac{93}{5}=18.6\]
Let's arrange in ascending order
\[9, 18.6 , 21\]
Smallest side=9
Longest side= 21
\[Ratio\ =\frac{9}{21}\]
to convert this into lowest terms. Divide both numerator and denominator by 3
\[Ratio\ =\huge {\frac{\frac{9}{3}}{\frac{21}{3}}=\frac{3}{7}}\]

Answer 2

Thank you so much Ash!

Answer 3

@LynnMichael Welcome:)