Analysis: Let"s try finding three-fourths of four-thirds. The word OF means "times", which indicates that we have to multiply.

You are watching: One of two numbers whose product is one

Solution:

Answer: The product the three-fourths and also four-thirds is 1.

This product is no coincidence. Three-fourths and four-thirds space reciprocals.

Definition: Two numbers whose product is 1 space called reciprocals of each other.

Reciprocals come in pairs. We can find the reciprocal of a nonzero number in fractional form by inverting that (that is, by switching positions that the numerator and also denominator).

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Three-Fourths Reciprocal that Three-Fourths Reciprocal that Four-Thirds

Let"s look in ~ some more examples the reciprocals.

Example 2: The adhering to pairs that numbers room reciprocals.

Note that the last fraction listed above was an improper fraction. To uncover the reciprocal of a combined number, girlfriend must convert it come an improper fraction first.

Example 3: What is the mutual of 3 and 1/2?

Solution action 1:

Solution action 2:

Example 4: What is the reciprocal of 5 and 7/8?

Solution action 1:

Solution action 2:

Summary: Two numbers whose product is 1 space called reciprocals of every other.

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### Exercises

Directions: find the mutual of each number below. Click as soon as in response BOX and type in your answer; climate click ENTER. After girlfriend click ENTER, a post will show up in the outcomes BOX to suggest whether your answer is exactly or incorrect. To begin over, click CLEAR.