Changing fractions

The numerator and denominator of a fraction may be multiplied by the same number without changing the value of the fraction. The resulting equivalent fraction is actually the same fraction expressed in higher terms.

To change a mixed number to an improper fraction we must: 1) multiply the denominator of the fraction by the whole number; 2) add the numerator of the fraction to the product of the multiplication; 3) write the result over the denominator.

To change an improper fraction to a whole or a mixed number we must divide the numerator by the denominator. If there should be a remainder, write it over the denominator. The resulting fraction should then be reduced to its lowest terms.

To change a whole number to an improper fraction with a specific denominator: 1) multiply the specific denominator and whole number; 2) write the result over the specific denominator.

Comparing Fractions. Fractions can be compared. To compare unlike fractions we must change them to equivalent fractions so that all have like denominators.

When fractions have different numerators but the same denominator, the fraction having the largest numerator has the greatest value.

When fractions have different denominators but the same numerator, the fraction having the largest denominator has the smallest value.