Question

1. an ant crawled $\frac{3}{6}$ the length of a bench. a spider crawled $\frac{3}{4}$ the length of the same bench. which animal crawled farther? write the symbol to make the statement true.

the _____ crawled further.
$\frac{3}{6}$ _____ $\frac{3}{4}$

Explanation:

Step1: Simplificar fracciones

Simplificamos \(\frac{3}{6}\) y \(\frac{3}{4}\). \(\frac{3}{6}=\frac{1}{2}\) y \(\frac{3}{4}\) se queda como está.

Step2: Comparar fracciones

Para comparar \(\frac{1}{2}\) y \(\frac{3}{4}\), encontramos un denominador común, que es 4. \(\frac{1}{2}=\frac{2}{4}\). Ahora comparamos \(\frac{2}{4}\) y \(\frac{3}{4}\). Como \(2 < 3\), entonces \(\frac{2}{4}<\frac{3}{4}\), es decir, \(\frac{3}{6}<\frac{3}{4}\).

Answer:

The spider crawled further. \(\boldsymbol{\frac{3}{6}<\frac{3}{4}}\)