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What is the equivalent fraction of 8/11 having the numerator 40?
- a)40/11
- b)44/40
- c)40/55
- d)10/40
Correct answer is option 'C'. Can you explain this answer?
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What is the equivalent fraction of8/11having the numerator 40?a)40/11b...
To find the equivalent fraction of 8/11 with a numerator of 40, we need to multiply both the numerator and the denominator by the same number to maintain the ratio between them.
Let's call the number we multiply by "x".
When we multiply the numerator (8) by "x", we get 8x.
When we multiply the denominator (11) by "x", we get 11x.
Since we want the new numerator to be 40, we set up the equation:
8x = 40
To solve for x, we divide both sides of the equation by 8:
x = 40/8
Simplifying further, we get:
x = 5
Now that we know x = 5, we can find the new equivalent fraction by multiplying both the numerator and the denominator of the original fraction (8/11) by 5:
(8 * 5) / (11 * 5)
Which simplifies to:
40/55
Therefore, the equivalent fraction of 8/11 with a numerator of 40 is 40/55.
So, the correct answer is option C.
Let's call the number we multiply by "x".
When we multiply the numerator (8) by "x", we get 8x.
When we multiply the denominator (11) by "x", we get 11x.
Since we want the new numerator to be 40, we set up the equation:
8x = 40
To solve for x, we divide both sides of the equation by 8:
x = 40/8
Simplifying further, we get:
x = 5
Now that we know x = 5, we can find the new equivalent fraction by multiplying both the numerator and the denominator of the original fraction (8/11) by 5:
(8 * 5) / (11 * 5)
Which simplifies to:
40/55
Therefore, the equivalent fraction of 8/11 with a numerator of 40 is 40/55.
So, the correct answer is option C.
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What is the equivalent fraction of8/11having the numerator 40?a)40/11b)44/40c)40/55d)10/40Correct answer is option 'C'. Can you explain this answer?
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