Verified Answer :

akaAleena

Because you can split the same whole into different parts. You can split a cake into 10 peices and eat 4 peices of the cake. That would be eating 4/10 of a cake. That would equal eating the same amount of cake if you split the cake into 5 peices and ate 2 of them.

It take 4 copies of 1 tenth to equal 2 copies of 1 fifth, as the 1 tenth of a number is half of 1 fifth of the same whole number.

What is value of one tenth?

One tenth is written as the fractional part of the number 10. The value of one tenth is equal to the 1/10 or 0.1.

Similarly,

One fifth is written as the fractional part of the number 5. The value of one fifth is equal to the 1/5 or 0.2.

Given information-

Total number of copies of 1 tenth is 4.

Total number of copies of 1 fifth is 2.

The whole number is same, but the value of 1 tenth of a number is less than the value of the 1 fifth of the same number.

Value of number 1 tenth of number 4 is,

\(x=\dfrac{1}{10}\times4\\x=0.4\)

Thus, the value of number 1 tenth of number 4 is 0.4

Value of number 1 fifth of number 2 is,

\(x=\dfrac{1}{5}\times4\\x=0.4\)

Thus, the value of the 1 fifth of number 2 is 0.4.

As both the values is same, hence it take 4 copies of 1 tenth to equal 2 copies of 1 fifth.

Thus, it can be conclude that, whole number is same, but value of 1 tenth of a number is half than value of the 1 fifth of the same number, hence it take 4 copies of 1 tenth to equal 2 copies of 1 fifth.

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