Question

1. \\(\frac{1}{6}\\) \\(\bigcirc\\) \\(\frac{2}{6}\\) 13. \\(\frac{1}{4}\\) \\(\bigcirc\\) \\(\frac{4}{4}\\) 14. \\(\frac{5}{8}\\) \\(\bigcirc\\) \\(\frac{4}{8}\\) solving real world who mowed less of his lawn in one hour?

Explanation:

Problem 10: Compare $\boldsymbol{\frac{1}{6}}$ and $\boldsymbol{\frac{2}{6}}$

Step 1: Recall fraction comparison rule

For fractions with the same denominator, the fraction with the larger numerator is larger. Here, both fractions have denominator 6.

Step 2: Compare numerators

The numerator of $\frac{1}{6}$ is 1, and the numerator of $\frac{2}{6}$ is 2. Since $1 < 2$, we have $\frac{1}{6} < \frac{2}{6}$.

Step 1: Recall fraction comparison rule

For fractions with the same denominator, the fraction with the larger numerator is larger. Both fractions have denominator 4.

Step 2: Compare numerators

The numerator of $\frac{1}{4}$ is 1, and the numerator of $\frac{4}{4}$ is 4. Since $1 < 4$, we have $\frac{1}{4} < \frac{4}{4}$.

Step 1: Recall fraction comparison rule

For fractions with the same denominator, the fraction with the larger numerator is larger. Both fractions have denominator 8.

Step 2: Compare numerators

The numerator of $\frac{5}{8}$ is 5, and the numerator of $\frac{4}{8}$ is 4. Since $5 > 4$, we have $\frac{5}{8} > \frac{4}{8}$.

Answer:

$\frac{1}{6} < \frac{2}{6}$ (the symbol is $<$)

Problem 13: Compare $\boldsymbol{\frac{1}{4}}$ and $\boldsymbol{\frac{4}{4}}$