Q&A for How to Find the Reciprocal

It is 1 divided by the squared number.

1/8. Since every whole number is invisibly divided by 1 (in this case, 8/1), you just interchange the numerator and denominator, putting the denominator over the numerator and there is your reciprocal, 8/1. In other words, a reciprocal takes a number a/b and turns it into b/a.

1 / (a+b).

Convert the mixed number into an improper fraction, then find the reciprocal as you normally would.

The number 4 as a fraction is 4/1. To find the reciprocal of a number, the numerator and denominator switch places, so the reciprocal of 4 is 1/4.

The reciprocal of 2.72 is (1 divided by 2.72)=0.367647 to six significant figures.

Some tables do have a column devoted to reciprocals, but not typically reciprocals of decimal numbers. Your best bet is simply to divide the decimal number into 1.

The reciprocal of a negative number is the same as the reciprocal of the positive number, except it's a negative value. For example, the reciprocal of -11 is -1/11.

Both are correct.

1/2. For reciprocating any number, just put it as a fraction and reverse the numerator and denominator. For example, 3 becomes 1/3 ; 97 becomes 1/97 ; 1/23 becomes 23.

It is -1 / 2.45.

(a-b) / R.

It's ¼ x ½ = 1/8.

There is no quick way other than dividing the new denominator into the new numerator.

The reciprocal of a reciprocal is the same thing it was before you flipped it the first time.

A reciprocal in math is a number that you get by inverting another number. If you invert a reciprocal, you get your original number. If you multiply a number by its reciprocal, you get 1.

The reciprocal is 11/10, which when simplified would be 1 1/10 as a mixed fraction.

Exactly the same way you do it with a positive decimal, except there would be a negative sign in front. Thus, the reciprocal of -0.5 is -2.

8/2, or 4.

Convert the decimal to a fraction, and invert it. If you have to express the answer as a decimal, divide the new denominator into the new numerator.

The reciprocal of 2.5 is (1 / 2.5) = 0.4. 1 / 4.0 = 0.25.

When you have a negative exponent, it is just the reciprocal of the number with the exponent being the absolute value - placed in the denominator (1/(number^exponent)). For example, if your number was 2 and your exponent was -2, then (1/(2^2)) or 1/4.

The reciprocal of 5 is 1/5. Dividing by 1/5 is the same as multiplying by 5. 1/5 multiplied by 5 is 1. (If the question is what is the reciprocal of the quantity [(5 ÷ (1/5)], it's 1 / [(5)(5)] = 1/25.)

The reciprocal is (4/5) / (1 2/5). That equals (4/5) / (7/5) = 4/7.

14/4.7 = 140/47 = 2.9787. You don't need to use the reciprocal to evaluate this.

3.02 = 302 / 100. The reciprocal is 100 / 302 = 50 / 151 (which could be expressed as 0.331).

Take the reciprocal of the second number and multiply it by the first number: 1/2 ÷ 1/4 = (1/2)(4/1) = 4/2 = 2. (This question is really asking "how many 1/4's will fit into 1/2?" The answer is 2.)

5 2/8 = 42/8. The reciprocal of 42/8 is 8/42 or 4/21.

The reciprocal is 12/37, which won't reduce.

1 / π = 1 / (3.14159) = 0.31831 (or approximately 0.3).