#math problem 09-06-2026 Arithmetic 101: How can you tell which fraction is larger without using a calculator?

@MathMath901 The 2nd one

@MathMath901 4√3 = 2√12

@MathMath901 Number two 4√3 = 2 √12 2 √13 > 2 √12 1 / (2 √13) < 1 / (4 √3)

@MathMath901 without even squaring 2sqrt(13) <-> 4sqrt(3) --> sqrt(13/3) <-> 2 --> sqrt(4.333..) <-> 2 and LHS is bigger, so 1/(4sqrt(3)) is larger

@MathMath901 Take the squares of both and whichever has a smaller denominator is bigger. In this case 1/52<1/48

@MathMath901 1/(52)^1/2 < 1/(48)^1/2 ✅

@MathMath901 1/(2V13) < 1/(4V3) (Si dos fracciones tienen el mismo numerador, es mayor la que tiene menor denominador).

@MathMath901 1/4*sqrt(3.25)<1/4*sqrt(3)

@MathMath901 4√3=2√(4x3)=2√12 13>12 entonces √13>√12 o sea 2√13>2√12 Lo que implica que 1/(2√13) < 1/(2√12) La mayor es 1/(4√3)

@MathMath901 Just square both sides to get 1/52 vs 1/48. RHSlarger.

@MathMath901 Fascinating answers. 🤣🤣

@MathMath901 Less than