If 1/a : 1/b : 1/c = 3 : 4 : 2, then determine a:b:c. Option 1: 2:3:6 Option 2: 4:3:6 Option 3: 3:2:1 Option 4: 2:3:4

Answer: 4:3:6. Solution: Given: 1/a : 1/b : 1/c = 3 : 4 : 2 When reciprocals are in a ratio, the actual numbers are in the inverse ratio. a : b : c = 1/3 : 1/4 : 1/2 To convert to whole numbers, find the LCM of denominators (3, 4, 2), which is 12. Multiply each term by 12: 1/3 x 12 = 4 1/4 x 12 = 3 1/2 x 12 = 6 Therefore, a:b:c = 4:3:6

Arithmetic

Ratio, Proportion & Variation

Easy

If $\frac{1}{a} : \frac{1}{b} : \frac{1}{c} = 3 : 4 : 2$ , then determine a:b:c.

2:3:6

4:3:6

3:2:1

2:3:4

✅ Correct Option: 2

Given: $\frac{1}{a} : \frac{1}{b} : \frac{1}{c} = 3 : 4 : 2$

When reciprocals are in a ratio, the actual numbers are in the inverse ratio.

$a : b : c = \frac{1}{3} : \frac{1}{4} : \frac{1}{2}$

To convert to whole numbers, find the LCM of denominators (3, 4, 2), which is 12.

Multiply each term by 12:

$\frac{1}{3} \times 12 = 4$

$\frac{1}{4} \times 12 = 3$

$\frac{1}{2} \times 12 = 6$

Therefore, $a:b:c = 4:3:6$

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If 1a:1b:1c=3:4:2\frac{1}{a} : \frac{1}{b} : \frac{1}{c} = 3 : 4 : 2a1​:b1​:c1​=3:4:2, then determine a:b:c.

Solution

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If $\frac{1}{a} : \frac{1}{b} : \frac{1}{c} = 3 : 4 : 2$ , then determine a:b:c.