Ratios and Equivalent Fractions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

How do you write a ratio?

Back

Ratios can be written in three ways: using a colon (e.g., 3:5), using the word 'to' (e.g., 3 to 5), or as a fraction (e.g., \(\frac{3}{5}\)).

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they simplify to the same fraction.

Front

Are the ratios \(\frac{2}{3}\) and \(\frac{8}{9}\) equivalent?

Back

No, \(\frac{2}{3}\) is not equivalent to \(\frac{8}{9}\).

Front

What is the ratio of seals to animals if there are 3 seals and 8 animals?

Back

The ratio of seals to animals is 3:8.

Front

If a recipe calls for 2 eggs and 3 cups of flour, how many eggs and cups of flour are needed for 3 batches?

Back

You need 6 eggs and 9 cups of flour for 3 batches.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor.

Front

What is the simplest form of the fraction \(\frac{6}{9}\)?

Back

The simplest form of \(\frac{6}{9}\) is \(\frac{2}{3}\).

Front

Which fraction is equivalent to \(\frac{2}{3}\)?

Back

The fraction \(\frac{6}{9}\) is equivalent to \(\frac{2}{3}\).

Front

What is an equivalent fraction?

Back

An equivalent fraction is a fraction that represents the same value as another fraction, even though the numerator and denominator may be different.