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# When the reciprocal of three times a number is subtracted from the reciprocal of the number equals one sixth Find the number?

Updated: 4/28/2022

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13y ago

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13y ago

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Q: When the reciprocal of three times a number is subtracted from the reciprocal of the number equals one sixth Find the number?
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### When the reciprocal of three times a number is subtracted from the reciprocal of the number the results is one sixth find the number?

1/x - 1/(3x) = 1/6Multiply each side by 6x:6 - 2 = xx = 4

### When the reciprocal of three time a number is subtracted from the reciprocal of the number the result is one sixth find the number?

1/3x - 1/x = 1/6Multiply everything by x (and simplify):1/3 - 1 = x/6-2/3 = x/6Cross multiply:3x = -12Divide each side by 3:x = -4

### When the reciprocal of three times a number is subtracted from the reciprocal of the number the result is one sixth. Find the number.?

Let the number be x, then: 1/6 = 1/x - 1/3x = 3/3x - 1/3x = 2/3x = 1/6 but 1/6 = 2/12 &rarr; 2/3x = 2/12 &rarr; 3x = 12 &rarr; x = 4 The number is 4.

-149

### The reciprocal of one sixth is?

6 over 1 or simply 6

### What is the reciprocal for five sixth?

Six-fifths. Just flip the fraction.

### What does 2 to the sixth power equals?

Two to the sixth power equals 64.

### What is one sixth plus two thirds?

it equals five sixth.

one third

### What 0.3 to the sixth power?

0.3 to the sixth power equals 0.000729

### What is 27 to the sixth power?

27 to the sixth power equals 387,420,489

### Five-sixth of a number equals 4300. What is the number?

the number is 5160! Let the mystery number be a. (5/6)a = 4300 so a = 4300 x (6/5) = 5160