The numerator of a fraction is 8 less than the denominator of a fraction. The value of the fraction is 3/5, find the value of th
e fraction.
2 answers:
Hello!
Answer:
To find the numerator and denominator, we can set up a proportion where:
x = denominator
x -8 = numerator
Cross multiply:
Simplify:
Substitute in this value of x to find the numerator and denominator:
Hope this helped you! :)
Let the numerator be x
It is given that,
- Denominator - 8 = Numerator
Then,
⇛ Denominator- 8 = x
⇛ Denominator = x + 8
<u>According</u><u> </u><u>to</u><u> </u><u>condition</u><u> </u><u>-2</u><u>)</u>
⇛ Fraction = 3/5
⇛ x/x + 8 = 3/5
<u>Cross</u><u> </u><u>multiplying</u><u>,</u>
⇛ 3(x + 8) = 5x
⇛ 3x + 24 = 5x
⇛ 24 = 5x - 3x
⇛ 24 = 24
<u>Flipping</u><u> </u><u>it</u><u> </u><u>out</u><u>,</u>
⇛ 2x = 24
⇛ x = 24/2 = 12
Then,
⇛ x + 8 = 12 + 8 = 20
- Numerator = 12
- Denominator = 20
<u>━━━━━━━━━━━━━━━━━━━━</u>
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Answer:
Step-by-step explanation:
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Answer:
true by subtract ing 8 we solve it.