how do I find a whole number x so that the ratio x:113 is a better estimate for pi than 22/7 and 3.14
1 answer:
22/7 = 3.142857...
Let's see if we can beat this using a fraction with 113 as its denominator.
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3 x 120 = 360
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So, let's try out x = 360:
360/113 = 3.185.... (Too high)
How about x=350:
350/113 = 3.097... (Too low)
Let's try out x = 355:
355/113 = 3.14159292 (Calculator value)
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Let's now compare 22/7 and 355/113 to pi:
22/7 = 3.142857...
355/113 = 3.14159292 (Calculator value)
π = 3.141592654
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As we can see, 355/113 provides us with a better approximation of π. This means that x=355.
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