Locating the Fraction 3/4: Step-by-Step Solution Guide

Think of $\frac{3}{4}$ as 3 out of 4 equal parts. Since you need 4 parts to make 1 whole, and you only have 3 parts, the fraction must be less than 1 but greater than half (which is $\frac{2}{4}$).

The numbers 3 and 4 are whole numbers, but $\frac{3}{4}$ is a fraction less than 1! The numerator (3) doesn't tell you the fraction's location - you need to consider the entire fraction as one value.

When fractions have the same denominator, just compare the numerators! Since $\frac{2}{4} < \frac{3}{4} < \frac{4}{4}$, we know 2 < 3 < 4, so the fractions are in order from smallest to largest.

Convert to decimals! $\frac{1}{2} = 0.5$, $\frac{3}{4} = 0.75$, and $1 = 1.0$. You can clearly see that 0.5 < 0.75 < 1.0, confirming your answer.

Simplifying helps but isn't always necessary! In this problem, simplifying $\frac{2}{4} = \frac{1}{2}$ and $\frac{4}{4} = 1$ makes it easier to see that $\frac{3}{4}$ is between $\frac{1}{2}$ and 1.