![]() The formula for converting 2345 inches to miles is. For example, to convert inch to mile: 1 inch = 0.0254 meters 1 mile = 1609.344 meters. So, to convert directly from cm to in you multiply by 0.3937007.Īnother way to look at it is that conversions are performed by multiplying the value to convert by the ratio of 1 input unit in meters to 1 output unit in meters. Or, you can find the single factor you need by dividing the A factor by the B factor.įor example, to convert from centimeters to inches you would multiply by 0.01 then divide by 0.0254. To convert among any units in the left column, say from A to B, you can multiply by the factor for A to convert A into m then divide by the factor for B to convert out of m. To convert from meters into units in the left columnĭivide by the value in the right column or, multiply by the reciprocal, 1/x. Multiply by the conversion value in the right column in the table below. To simply convert from any unit into meters, for example, from 50 centimeters, just Where S is our starting value, C is our conversion factor, and By knowing the conversion factor, converting between units can become a simple multiplication problem: A pure coincidence that the Golden ratio is almost the same as kilometers in a mile.Conversions of length and distance are performed by using a conversion factor. , which translates to English as "n-th Fibonacci number in miles is the same as (n+1)-th Fibonacci number in kilometers".Since the ratio is also almost the same as kilometers per mile, we can write F n+1/F n = /. If we take two consecutive Fibonacci numbers, F n+1 and F n, we know that their ratio F n+1/F n is approximately 1.618. Now that we know these two key facts, we can figure out how to do the conversion. To convert miles to km, the conversion factor is required. These two measures are mostly used to measure geographical land areas. ![]() They are used to measure the distance from one point to the other point. Miles and kilometers (km) are the units of length. The Golden ratio is a constant that happens to be approximately 1.618.Ĭoincidentally, there are 1.609 kilometers in a mile, which is within 0.5% of the Golden ratio. The miles to km formula is used to convert the unit of a quantity given in miles to kilometers. If the distance needs to be composed as a sum of n Fibonacci numbers, then the error will be around sqrt(n)♰.5%.įibonacci numbers have a property that the ratio of two consecutive numbers approaches the Golden ratio as numbers get bigger and bigger. ![]() If the distance you're converting can be expressed as a single Fibonacci number, then for numbers greater than 21 the error is always around 0.5%. But if you need to convert from miles to km, you need the subsequent Fibonacci number. Just remember that if you need to convert from km to miles, you need to find the preceding Fibonacci number. We assume you are converting between mile and kilometre. Again super close – the correct answer is 248.55 miles. Therefore there are 233 + 13 + 1 = 247 miles in 400 km. ![]() Since we are going the opposite way now from miles to km, we need the preceding Fibonacci numbers. This is within 1% of the precise answer, which is 160.93 km.Īnother example, how many miles are there in 400 km? Therefore the answer is 144 + 13 + 5 = 162 kilometers in 100 miles. Now, the Fibonacci number following 89 is 144, the Fibonacci number following 8 is 13 and the Fibonacci number following 3 is 5. Number 100 can be expressed as a sum of Fibonacci numbers 89 + 8 + 3. (The exact answer is 33.79 km.)īut that's not all – if you need to convert a number that is not a Fibonacci number, just express the original number as a sum of Fibonacci numbers and do the conversion for each Fibonacci number separately.įor example, how many kilometers are there in 100 miles? What this tells us is that there are approximately 34 km in 21 miles and vice versa. Let's take two consecutive Fibonacci numbers 21 and 34. To convert back just read the result from the other end – there are 5 miles in 8 km! No kidding – there are 8 kilometers in 5 miles. Take two consecutive Fibonacci numbers, for example 5 and 8.Īnd you're done converting. Fibonacci numbers can be used to approximately convert from miles to kilometers and back. I recently learned an interesting fact about Fibonacci numbers while watching a random number theory video on YouTube.
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