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Mashcka [7]
3 years ago
9

The numerator of the given fraction is 4 less than the denominator. If 5 is added to both numerator and denominator, the resulti

ng fraction is equivalent to 5/7 . What is the original fraction? heeeeeeelp!!!
Mathematics
1 answer:
Romashka [77]3 years ago
6 0

Answer:

5/9

Step-by-step explanation:

Let the denominator be k and thus numerator be 4 less than k or k - 4.

Fraction = (k - 4)/k

If 5 is added to both:

=> (k-4 + 5)/(k + 5) = 5/7

=> 7(k + 1) = 5(k + 5)

=> 7k + 7 = 5k + 25

=> 2k = 18

=> k = 9

Thus,

Fraction is (k-4)/k = (9-4)/9 = 5/9

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mr_godi [17]

Answer: 1 4/5 / 2/7 = 63/

10

= 6 3/10  

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Step-by-step explanation:

Conversion a mixed number 1 4/

5

to a improper fraction: 1 4/5 = 1 4/

5

= 1 · 5 + 4/

5

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5

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To find a new numerator:

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b) Add the answer from previous step 5 to the numerator 4. New numerator is 5 + 4 = 9

c) Write a previous answer (new numerator 9) over the denominator 5.

One and four fifths is nine fifths

Divide: 9/

5

: 2/

7

= 9/

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· 7/

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= 9 · 7/

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Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 2/

7

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) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, the fraction result cannot be further simplified by canceling.

In other words - nine fifths divided by two sevenths = sixty-three tenths.

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