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How many 4s are in \(\frac{2}{7}\)?

Answer :

Final answer:

The number 4 can't go into the fraction 2/7 at all, therefore the answer is zero.

Explanation:

The question is asking how many times the number 4 goes into the fraction 2/7. However, this question does not make sense mathematically, as the number 4 is greater than the fraction 2/7, so 4 can't go into 2/7 at all. Therefore, the answer is zero. You might be confusing this with a division question, such as 'how many times does 4 go into 28?' which can be represented as the fraction 28/4, to which the answer would be 7.

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Rewritten by : Barada

ANSWER

[tex]\frac{1}{14} [/tex]

EXPLANATION

Let the number of 4s in 2/7 be x.

Then we can write and solve the following equation for x.

[tex]4x = \frac{2}{7} [/tex]

Divide both sides by 4 to obtain:

[tex]x = \frac{2}{7} \div 4[/tex]

Multiply by the reciprocal of 4

[tex]x = \frac{2}{7} \times \frac{1}{4} [/tex]

This implies that

[tex]x = \frac{1}{7} \times \frac{1}{2} [/tex]

[tex]x = \frac{1}{14} [/tex]