Find the compound ratio of- 2 - 3- 9 - 14- and 14 - 27 2 - 9-3 - 4-2 - 5-3 - 5-

The correct option is A 2 : 9 For ratios a : b and c : d; the compound ratio is (a × c) : (b × d) ∴ Required compound ratio =(2× 9 × 14): (3× 14 × 27) =2× 9 × ...

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Standard X

Mathematics

Compound Ratio

Find the comp...

Question

Find the compound ratio of:

2 : 3, 9 : 14, and 14 : 27

2 : 9

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3 : 4

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2 : 5

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3 : 5

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Solution

The correct option is A
2 : 9

For ratios a : b and c : d; the compound ratio is $(a \times c) : (b \times d)$

$∴$ Required compound ratio $= (2 \times 9 \times 14) : (3 \times 14 \times 27)$

$= \frac{2 \times 9 \times 14}{3 \times 14 \times 27} = \frac{2}{9} = 2 : 9$

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Similar questions

Q. Mark whether true or false.
(a) 8 (7 + 3) = 8 × 7 + 8 × 3 ____
(b) 12 (16 + 4) = 12 × 16 + 12 × 4 ____
(c) 14 (5 + 2) = 14 × 5 + 14 × 2 ____
(d) 9 (8 − 3) = 9 × 8 − 9 × 3 ____

Evaluate :
$(i) \frac{2}{3} - \frac{4}{5} (i i) \frac{- 4}{9} - \frac{2}{- 3} (i i i) - 1 - \frac{4}{9} (i v) \frac{- 2}{7} - \frac{3}{- 14} (v) \frac{- 5}{18} - \frac{- 2}{9} (v i) \frac{5}{21} - \frac{- 13}{42}$

Find the compound ratio of:

2 : 3, 9 : 14, and 14 : 27

Q. What is the simplified form of

(\frac{- 9}{7} \times \frac{- 1}{3}) + (\frac{15}{8} \times \frac{- 4}{5}) - (\frac{27}{14} \times \frac{2}{9})

Q. Using the appropriate properties of operations of rational numbers, evaluate the following:
a) 8/9*4/5+5/6 - 9/5*8/9
b) 2/5*(-3/7) - 1/6*3/2 + 1/14*2/5
c) (-4/5)*3/7*15/16*(-14/9)

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Find the compound ratio of: 2 : 3, 9 : 14, and 14 : 27

The correct option is A 2 : 9 For ratios a : b and c : d; the compound ratio is (a×c):(b×d) ∴ Required compound ratio =(2×9×14):(3×14×27) =2×9×143×14×27=29=2:9

Find the compound ratio of:

2 : 3, 9 : 14, and 14 : 27

The correct option is A
2 : 9

For ratios a : b and c : d; the compound ratio is $(a \times c) : (b \times d)$

$∴$ Required compound ratio $= (2 \times 9 \times 14) : (3 \times 14 \times 27)$

$= \frac{2 \times 9 \times 14}{3 \times 14 \times 27} = \frac{2}{9} = 2 : 9$