Question

Jim thinks of a number 2/3 of his number is 48 work out 5/6 of Jim’s number

Answer 1

To find 5/6 of Jim’s number, first calculate the original number by multiplying 48 by the reciprocal of 2/3 to get 72. Then, multiply 72 by 5/6 to get the final answer, which is 60.

Step-by-step explanation:

Jim thinks of a number, and 2/3 of his number is 48. To work out 5/6 of Jim’s number, we need to first find Jim’s original number. Since 2/3 of the number is 48, we can multiply 48 by the reciprocal of 2/3 to find the whole number, which is 48 × 3/2 = 72. Now that we have the original number, we can calculate 5/6 of it. To do this, we multiply 72 by 5/6, which gives us 72 × 5/6 = 60.

This concept is similar to the intuitive understanding of fractions in relation to division and multiplication. For example, dividing by 8 is the same as multiplying by its reciprocal, 1/8. This understanding can help simplify and solve problems involving fractions.

Answer 2

5/6 of Jim’s number is, 60

Step-by-step explanation:

Let Jim's number be x.

As per the statement:

Jim thinks of a number 2/3 of his number is 48

"2/3 of his number" translated to
`(2)/(3)x`

then;

`(2)/(3)x = 48`

Multiply both sides by 3 we have;

`2x = 144`

Divide both sides by 2 we have;

x = 72

We have to find 5/6 of Jim’s number.

then;

`(5)/(6)x`

⇒
`(5)/(6) \cdot 72`

⇒
`5 \cdot 12 = 60`

Therefore, 5/6 of Jim’s number is, 60