Which phrase should be inserted on the line to correctly compare the two fractions? Use the models to help.

Four-fifths blank line StartFraction 16 Over 20 EndFraction

Four-fifths

A model has 4 shaded parts and 1 unshaded part.
StartFraction 16 Over 20 EndFraction
A model has 16 shaded parts and 4 unshaded parts.
is greater than
cannot be compared to
is less than
is equal to

1 answer

To compare the two fractions, we need to determine their values.

  1. The fraction four-fifths is written as \( \frac{4}{5} \).
  2. The fraction \( \frac{16}{20} \) can be simplified by dividing the numerator and denominator by 4, which gives \( \frac{4}{5} \).

Since both fractions are equal (\( \frac{4}{5} = \frac{16}{20} \)), the correct phrase to insert is:

is equal to

Thus, the complete comparison is:

Four-fifths is equal to \( \frac{16}{20} \).

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