Question

what should be added to 2 5/7to get 4 1/14?​

Answer 1

Answer:

hey buddy here is your answer

Step-by-step explanation:

This is mainly a question of common denominators. When adding fractions, like this question asks for, it is easiest to first make sure both fractions have the same denominator (the number on the bottom).

When changing the denominator of a fraction, you multiply both the numerator (top number) and denominator (bottom number) by the same number so that their proportions stay the same, keeping the value of the fraction the same.

In many cases, the quickest way to find the common denominator is to multiply each fraction by the denominator of the other fraction.

2/7 x 14/14 = 28/98

3/14 x 7/7 = 21/98

If you were to plug these two resulting fractions into your question it would give you the right answer.

21/98 - 28/98 = -7/98

Reduce to get -1/14. That is the correct answer

However, in a case such as this where the two denominators have a relationship (14/2=7) you can much more easily multiply the fraction with the smaller denominator by the appropriate number to equalize the denominators then do the subtraction like we did before.

2/7 x 2/2 = 4/14

3/14 - 4/14 = -1/14. Same answer and basic mechanics of achieving that answer, just a slightly simpler path.

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Answer 2

Step-by-step explanation:

Let the number be x

As per the question,

$x + 2 \frac{5}{7} = 4 \frac{1}{14}$

Here 2 5/7=19/7,4 1/14=57/56

$x + \frac{19}{7} = \frac{57}{56} \\ x = \frac{57}{56} - \frac{19}{7} \\ x = \frac{57 - 152}{56} \\ x = \frac{ - 95}{56}$

-95/56 should be added