Given M:N = 3:4, N:O = 5:7, and O:P = 7:9, determine M:P =________?
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Answer: C. 5/12
Explanation
Given ratios are M to N as three to four, N to O as five to seven, and O to P as seven to nine. Multiplying these consecutive fractional ratios together chains the terms to find the direct ratio of M to P. Multiplying three-fourths, five-sevenths, and seven-ninths gives one hundred five over two52, simplifying to five-twelfths. Ratio compounding involves multiplying successive proportional fractions to relate non-adjacent variables. Common terms in the numerators and denominators cancel out during the fraction multiplication steps. One hundred five over two hundred fifty-two reduces by common factors of twenty-one to five-twelfths.
Financial analysts compound growth ratios and currency exchange rates across multiple intermediary markets. Scale drawings and engineering blueprints use chained ratios to maintain dimensional proportionality. Quantitative aptitude tests frequently evaluate ratio multiplication and simplification skills. Option A represents an incorrect fraction that does not match the compounded product of the ratios. Option B corresponds to one of the intermediate component ratios rather than the final M to P ratio. Option D is incorrect because the correct simplified fraction five-twelfths is listed in option C.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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