Question

Which fraction is greater than the fraction represented by the model?

A circle divided into 8 equal parts. 3 parts are shaded.
One-fourth
StartFraction 7 over 16 EndFraction
One-eighth
StartFraction 3 Over 16 EndFractionWhich fraction is greater than the fraction represented by the model?

A circle divided into 8 equal parts. 3 parts are shaded.
One-fourth
StartFraction 7 over 16 EndFraction
One-eighth
StartFraction 3 Over 16 EndFractionWhich fraction is greater than the fraction represented by the model?

A circle divided into 8 equal parts. 3 parts are shaded.
One-fourth
StartFraction 7 over 16 EndFraction
One-eighth
StartFraction 3 Over 16 EndFraction

Answer 1

The model represents the fraction \( \frac{3}{8} \) since 3 out of 8 parts of the circle are shaded. We need to compare \( \frac{3}{8} \) with each of the given options:

1. **One-fourth**:
\[
\frac{1}{4} = \frac{2}{8}
\]
(which is less than \( \frac{3}{8} \))

2. **\( \frac{7}{16} \)**:
To compare \( \frac{7}{16} \) with \( \frac{3}{8} \), we can convert \( \frac{3}{8} \) to sixteenths:
\[
\frac{3}{8} = \frac{6}{16}
\]
(which is less than \( \frac{7}{16} \))

3. **One-eighth**:
\[
\frac{1}{8} = \frac{1}{8}
\]
(which is also less than \( \frac{3}{8} \))

4. **\( \frac{3}{16} \)**:
\[
\frac{3}{16}
\]
(which is less than \( \frac{3}{8} = \frac{6}{16} \))

Among the provided fractions, the only one that is greater than \( \frac{3}{8} \) is \( \frac{7}{16} \).

Thus, the answer is:
**StartFraction 7 over 16 EndFraction**.