The number 1.414... (square root of 2) is two times the cosine or sine of a 45 degree angle.
The reason for this is that for a 45 degree angle, the two sides are cosine and sine, they are equal, and if you solve using the Pythagorean theorem with a hypotenuse of 1, the two sides are each (21/2)/2.
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Expressed as a mixed number in its simplest form, 14.14 is equal to 14 7/50 or fourteen and seven fiftieths. but seeing as you asked for a fraction it'd be 1414/10000, 707/5000. It may reduce further. ..or not...707 looks like a prime.
7 x 4 = 2828 - 14 = 14Therefore 5x = 1414/5 = 2.8Therefore x = 2.8
-1.414 is a fraction. It is a fraction in decimal form rather than in the form of a ratio. However, that does not stop it being a fraction. Its rational equivalent is -1414/1000 which can be simplified.
Solution:7x - 7 = 147x = 14 + 77x = 21x = 21/7x = 3Checking:7(3) - 7 = 1421 - 7 = 1414 = 14