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how would I go about working out this type of question?

a) The ratio of j to k is 1:3. The ratio of k to m is 4 : 5.Find the ratio j:k: m in its simplest form.​

Answer :

Answer:

j : k : m = 4 : 12 : 15

Step-by-step explanation:

Given

j : k = 1 : 3 , then k = 3j

Given

k : m = 4 : 5

then expressing in fractional terms

[tex]\frac{k}{m}[/tex] = [tex]\frac{4}{5}[/tex] ( substitute k = 3j )

[tex]\frac{3j}{m}[/tex] = [tex]\frac{4}{5}[/tex] ( cross- multiply )

4m = 15j ( divide both sides by 4 )

m = [tex]\frac{15}{4}[/tex] j , so

j : k : m = 1 : 3 : [tex]\frac{15}{4}[/tex] ( multiply each part by 4 to clear the fraction )

            = 4 : 12 : 15

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