Question
Sasha wants to compare 3/8
and 3/4
on a number line. What is the first step she should take to do this?
and 3/4
on a number line. What is the first step she should take to do this?
Answers
GPT-4o mini
To compare \( \frac{3}{8} \) and \( \frac{3}{4} \) on a number line, the first step Sasha should take is to convert \( \frac{3}{4} \) into a fraction with a common denominator with \( \frac{3}{8} \).
The denominator of \( \frac{3}{4} \) is 4, and the denominator of \( \frac{3}{8} \) is 8. The least common denominator (LCD) between 4 and 8 is 8.
So, she can convert \( \frac{3}{4} \) to an equivalent fraction with a denominator of 8:
\[
\frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8}
\]
Now Sasha can compare \( \frac{3}{8} \) and \( \frac{6}{8} \) on the number line. Specifically, she can see that \( \frac{3}{8} \) is less than \( \frac{6}{8} \).
The denominator of \( \frac{3}{4} \) is 4, and the denominator of \( \frac{3}{8} \) is 8. The least common denominator (LCD) between 4 and 8 is 8.
So, she can convert \( \frac{3}{4} \) to an equivalent fraction with a denominator of 8:
\[
\frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8}
\]
Now Sasha can compare \( \frac{3}{8} \) and \( \frac{6}{8} \) on the number line. Specifically, she can see that \( \frac{3}{8} \) is less than \( \frac{6}{8} \).