Comparing Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two integers, with a numerator (top number) and a denominator (bottom number).

Front

How do you compare two fractions with different denominators?

Back

To compare two fractions with different denominators, convert them to a common denominator or convert them to decimal form.

Front

What does it mean for one fraction to be greater than another?

Back

A fraction is greater than another if its value is larger when both fractions are expressed in the same form (either as fractions with a common denominator or as decimals).

Front

What is the process to find a common denominator?

Back

To find a common denominator, identify the least common multiple (LCM) of the denominators of the fractions being compared.

Front

How can you determine if a fraction is less than or greater than another?

Back

You can determine if a fraction is less than or greater than another by cross-multiplying the fractions and comparing the products.

Front

What is the relationship between the numerators and denominators when comparing fractions?

Back

When comparing fractions, if the numerators are the same, the fraction with the smaller denominator is greater. If the denominators are the same, the fraction with the larger numerator is greater.

Front

What is an equivalent fraction?

Back

An equivalent fraction is a fraction that represents the same value as another fraction, achieved by multiplying or dividing both the numerator and denominator by the same non-zero number.

Front

How do you simplify a fraction?

Back

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

Front

What is the significance of the numerator in a fraction?

Back

The numerator indicates how many parts of the whole are being considered in the fraction.

Front

What is the significance of the denominator in a fraction?

Back

The denominator indicates the total number of equal parts the whole is divided into.