Question

The reciprocal of 1⅔ is

a) 3/2
b) 1 3/2
c) 5/3
d) ⅗
with the step by step explanation
​

Answer 1

`(3)/(5)`

Explanation:

A reciprocal is simply an upside down fraction.

To find the reciprocal of 1
`(2)/(3)`

First, convert the fraction into an improper fraction (a fraction where the numerator is bigger than the denominator so has a value greater than 1).
This means getting rid of the 1 at the front of the fraction.
1
`(2)/(3)` is the same as 1 +
`(2)/(3)`
The number 1 is the same as
`(3)/(3)` as it is a whole number.

You can then add the
`(3)/(3)` and
`(2)/(3)` to make an improper fraction.

Now to find the reciprocal of
`(5)/(3)` you simply flip the fraction to get
`(3)/(5)`.

Answer 2

⿻ᴀɴᴤᴡᴇʀ ᴡɪᴛʜ ᴇxᴘʟᴀɴᴀᴛᴏɪɴ⿻

The reciprocal of a number is simply 1 divided by that number.

The reciprocal of a number is simply 1 divided by that number. So, to find the reciprocal of 1⅔, we need to divide 1 by 1⅔.

The reciprocal of a number is simply 1 divided by that number. So, to find the reciprocal of 1⅔, we need to divide 1 by 1⅔. We can convert 1⅔ to an improper fraction by multiplying the whole number (1) by the denominator (3) and adding the numerator (2). This gives us:

The reciprocal of a number is simply 1 divided by that number. So, to find the reciprocal of 1⅔, we need to divide 1 by 1⅔. We can convert 1⅔ to an improper fraction by multiplying the whole number (1) by the denominator (3) and adding the numerator (2). This gives us:1⅔ = (1 x 3 + 2) / 3 = 5/3

The reciprocal of a number is simply 1 divided by that number. So, to find the reciprocal of 1⅔, we need to divide 1 by 1⅔. We can convert 1⅔ to an improper fraction by multiplying the whole number (1) by the denominator (3) and adding the numerator (2). This gives us:1⅔ = (1 x 3 + 2) / 3 = 5/3 Now we can divide 1 by 5/3:

The reciprocal of a number is simply 1 divided by that number. So, to find the reciprocal of 1⅔, we need to divide 1 by 1⅔. We can convert 1⅔ to an improper fraction by multiplying the whole number (1) by the denominator (3) and adding the numerator (2). This gives us:1⅔ = (1 x 3 + 2) / 3 = 5/3 Now we can divide 1 by 5/3:1 ÷ 5/3 = 1 x 3/5 = 3/5

The reciprocal of a number is simply 1 divided by that number. So, to find the reciprocal of 1⅔, we need to divide 1 by 1⅔. We can convert 1⅔ to an improper fraction by multiplying the whole number (1) by the denominator (3) and adding the numerator (2). This gives us:1⅔ = (1 x 3 + 2) / 3 = 5/3 Now we can divide 1 by 5/3:1 ÷ 5/3 = 1 x 3/5 = 3/5 So the answer is d) ⅗.