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

1 answer

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.