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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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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]