Question

If 460 is divided into 3 ,proportional to 1/2:2/3:3/4 then first part is?

Answer 1

Answer:

120 is the 1st part

Step-by-step explanation:

1/2 : 2/3 : 3/4

= 12/24 : 16/24 : 18/24

= 12 : 16 : 18

= 6 : 8 : 9

1st part = 460 ×6/23 = 20 × 6 = 120

Answer 2

Concept

A ratio with terms a/b: c/b : d/b can also be written as a : c : d.

Given

460 is divided into 3 parts proportional to 1/2:2/3:3/4

Find

we need to find the first part

Solution

We have  1/2:2/3:3/4

we can simplify this ratio by equalising the denominators of these fractions

Thus, the ratio will become

6/12: 8/12 : 9/12

or 6:8:9

Now, we need to find how much of 460 will the first part be

thus,

460 * 6/(6+8+9)

= 460 * 6/23

= 20 * 6

= 120

Thus, when 460 is divided into 3 parts proportional to 1/2:2/3:3/4 then first part will be 120.

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