Is 1/2 greater than 3/8?

Understand the Problem

The question is asking whether the fraction 1/2 is greater than the fraction 3/8. To determine this, we can find a common denominator or convert the fractions into decimal form for comparison.

Answer

1/2 > 3/8
Answer for screen readers

The fraction 1/2 is greater than the fraction 3/8.

Steps to Solve

  1. Convert the fractions to a common denominator

    To compare the fractions $\frac{1}{2}$ and $\frac{3}{8}$, we can convert them to have the same denominator. The common denominator between 2 and 8 is 8. Convert $\frac{1}{2}$:

    $$ \frac{1}{2} = \frac{1 \times 4}{2 \times 4} = \frac{4}{8} $$

  2. Compare the numerators

    Now, compare the fractions $\frac{4}{8}$ and $\frac{3}{8}$, which have the same denominator. Since $4 > 3$,

    $$ \frac{4}{8} > \frac{3}{8} $$

    Therefore, $\frac{1}{2}$ is greater than $\frac{3}{8}$.

The fraction 1/2 is greater than the fraction 3/8.

More Information

Understanding how to compare fractions is a crucial skill that helps in many areas of math. This particular problem illustrates the concept of finding a common denominator to compare fractions.

Tips

A common mistake is to compare fractions directly by their numerators or denominators without finding a common denominator first. Always ensure both fractions have the same denominator before comparing.

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