Here are the comparisons for the fractions: a) To compare 1/2 and 1/4, we can find a common denominator. Step 1: Convert 1/2 to an equivalent fraction with a denominator of 4. 1/2 = (1 × 2)/(2 × 2) = 2/4 Step 2: Compare 2/4 and 1/4. Since 2 > 1, we have: 2/4 > 1/4 Therefore, 1/2 > 1/4 b) To compare 3/4 and 2/4, the denominators are already the same. Step 1: Compare the numerators. Since 3 > 2, we have: 3/4 > 2/4 c) To compare 2/6 and 2/6, the fractions are identical. Step 1: Since both fractions are the same, they are equal. 2/6 = 2/6 d) To compare 2/8 and 3/8, the denominators are already the same. Step 1: Compare the numerators. Since 2 < 3, we have: 2/8 < 3/8

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August 30, 2026Mathematics

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4 parts

\frac{1}{2} > \frac{1}{4}

\frac{3}{4} > \frac{2}{4}

\frac{2}{6} = \frac{2}{6}

\frac{2}{8} < \frac{3}{8}

Step-by-step solution

5 steps

Here are the comparisons for the fractions:

Part a· 2 steps

To compare $\frac{1}{2}$ and $\frac{1}{4}$ , we can find a common denominator.

Convert $\frac{1}{2}$ to an equivalent fraction with a denominator of 4.
$\frac{1}{2} = \frac{1 \times 2}{2 \times 2} = \frac{2}{4}$
Compare $\frac{2}{4}$ and $\frac{1}{4}$ .
Since $2 > 1$ , we have:
$\frac{2}{4} > \frac{1}{4}$
Therefore,
$\boxed{\frac{1}{2} > \frac{1}{4}}$

Part b· 1 step
$\frac{3}{4} > \frac{2}{4}$

To compare $\frac{3}{4}$ and $\frac{2}{4}$ , the denominators are already the same.

Compare the numerators.
Since $3 > 2$ , we have:
$\boxed{\frac{3}{4} > \frac{2}{4}}$

Part c· 1 step
$\frac{2}{6} = \frac{2}{6}$

To compare $\frac{2}{6}$ and $\frac{2}{6}$ , the fractions are identical.

Since both fractions are the same, they are equal.
$\boxed{\frac{2}{6} = \frac{2}{6}}$

Part d· 1 step
$\frac{2}{8} < \frac{3}{8}$

To compare $\frac{2}{8}$ and $\frac{3}{8}$ , the denominators are already the same.

Compare the numerators.
Since $2 < 3$ , we have:
$\boxed{\frac{2}{8} < \frac{3}{8}}$

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Answers

Step-by-step solution

Part a· 2 steps

Convert 12\frac{1}{2}21​ to an equivalent fraction with a denominator of 4.

Compare 24\frac{2}{4}42​ and 14\frac{1}{4}41​.

Part b· 1 step34>24\frac{3}{4} > \frac{2}{4}43​>42​

Compare the numerators.

Part c· 1 step26=26\frac{2}{6} = \frac{2}{6}62​=62​

Since both fractions are the same, they are equal.

Part d· 1 step28<38\frac{2}{8} < \frac{3}{8}82​<83​

Compare the numerators.

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More Mathematics Questions

Convert $\frac{1}{2}$ to an equivalent fraction with a denominator of 4.

Compare $\frac{2}{4}$ and $\frac{1}{4}$ .

Part b· 1 step
$\frac{3}{4} > \frac{2}{4}$

Part c· 1 step
$\frac{2}{6} = \frac{2}{6}$

Part d· 1 step
$\frac{2}{8} < \frac{3}{8}$