If A:B=3:4, B:C=5:6, and C:D=12:17, what is A:D?
- A17:37
- B30:34
- C13:31
- D15:34
Solution & Step-by-step Explanation
We can find the compound ratio
D
A
directly by multiplying the given individual fractional ratios:
D
A
=
B
A
×
C
B
×
D
C
Substitute the values:
D
A
=
4
3
×
6
5
×
17
12
Simplify the multiplication:
D
A
=
4×6×17
3×5×12
=
408
180
Dividing both numerator and denominator by 12:
408÷12
180÷12
=
34
15
Thus, A:D=15:34.
D
A
directly by multiplying the given individual fractional ratios:
D
A
=
B
A
×
C
B
×
D
C
Substitute the values:
D
A
=
4
3
×
6
5
×
17
12
Simplify the multiplication:
D
A
=
4×6×17
3×5×12
=
408
180
Dividing both numerator and denominator by 12:
408÷12
180÷12
=
34
15
Thus, A:D=15:34.