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GB-16-04-001 · Combining ratios

A : B = 4 : 11 and B : C = 7 : 4. Find A : B : C in its simplest form.

Ratio: Combining Ratios Booklet p. 21
Method
1) Find a common multiple for the matching part (B) of both ratios
2) Scale both ratios so B matches
3) Write A : B : C in simplest form
Worked Example (GB-16-04-001)
A:B=4:11→×728:77\mathbf{A : B} = 4 : 11 \xrightarrow{\times 7} \mathbf{28 : 77}
B:C=7:4→×1177:44\mathbf{B : C} = 7 : 4 \xrightarrow{\times 11} \mathbf{77 : 44}
Combine A:B:C=28:77:44A : B : C = 28 : 77 : 44 and simplify:
28 : 77 : 44
Booklet p. 21: Find a common multiple (7777) for the matching part (BB) of the ratios!