Simplifying fractions, means rewriting a fraction in its simplest form without changing its value. To simplify a fraction, divide both the numerator and denominator by their greatest common factor (GCF). A fraction is fully simplified when the numerator and denominator have no common factors other than 1. Practice reducing fractions below, including proper fractions, improper fractions, and fractions that are already in simplest form.
Printable PDF and Answer Key 
Practice Problems
Reduce (simplify) the following fractions.
\(\textbf{1)}\) \(\displaystyle\frac{4}{8}\)
The answer is \(\displaystyle\frac{1}{2}\)
\(\,\,\,\,\,\,\displaystyle\frac{4}{8}\)
\(\,\,\,\,\,\,\displaystyle\frac{4\div4}{8\div4}\)
\(\,\,\,\,\,\,\displaystyle\frac{1}{2}\)
\(\,\,\,\,\,\,\displaystyle\frac{4}{8}\)
\(\,\,\,\,\,\,\displaystyle\frac{4\div4}{8\div4}\)
\(\,\,\,\,\,\,\displaystyle\frac{1}{2}\)
\(\textbf{2)}\) \(\displaystyle\frac{6}{18}\)
The answer is \(\displaystyle\frac{1}{3}\)
\(\,\,\,\,\,\,\displaystyle\frac{6}{18}\)
\(\,\,\,\,\,\,\displaystyle\frac{6\div6}{18\div6}\)
\(\,\,\,\,\,\,\displaystyle\frac{1}{3}\)
\(\,\,\,\,\,\,\displaystyle\frac{6}{18}\)
\(\,\,\,\,\,\,\displaystyle\frac{6\div6}{18\div6}\)
\(\,\,\,\,\,\,\displaystyle\frac{1}{3}\)
\(\textbf{3)}\) \(\displaystyle\frac{9}{15}\)
The answer is \(\displaystyle\frac{3}{5}\)
\(\,\,\,\,\,\,\displaystyle\frac{9}{15}\)
\(\,\,\,\,\,\,\displaystyle\frac{9\div3}{15\div3}\)
\(\,\,\,\,\,\,\displaystyle\frac{3}{5}\)
\(\,\,\,\,\,\,\displaystyle\frac{9}{15}\)
\(\,\,\,\,\,\,\displaystyle\frac{9\div3}{15\div3}\)
\(\,\,\,\,\,\,\displaystyle\frac{3}{5}\)
\(\textbf{4)}\) \(\displaystyle\frac{21}{28}\)
The answer is \(\displaystyle\frac{3}{4}\)
\(\,\,\,\,\,\,\displaystyle\frac{21}{28}\)
\(\,\,\,\,\,\,\displaystyle\frac{21\div7}{28\div7}\)
\(\,\,\,\,\,\,\displaystyle\frac{3}{4}\)
\(\,\,\,\,\,\,\displaystyle\frac{21}{28}\)
\(\,\,\,\,\,\,\displaystyle\frac{21\div7}{28\div7}\)
\(\,\,\,\,\,\,\displaystyle\frac{3}{4}\)
\(\textbf{5)}\) \(\displaystyle\frac{12}{30}\)
The answer is \(\displaystyle\frac{2}{5}\)
\(\,\,\,\,\,\,\displaystyle\frac{12}{30}\)
\(\,\,\,\,\,\,\displaystyle\frac{12\div6}{30\div6}\)
\(\,\,\,\,\,\,\displaystyle\frac{2}{5}\)
\(\,\,\,\,\,\,\displaystyle\frac{12}{30}\)
\(\,\,\,\,\,\,\displaystyle\frac{12\div6}{30\div6}\)
\(\,\,\,\,\,\,\displaystyle\frac{2}{5}\)
\(\textbf{6)}\) \(\displaystyle\frac{100}{125}\)
The answer is \(\displaystyle\frac{4}{5}\)
\(\,\,\,\,\,\,\displaystyle\frac{100}{125}\)
\(\,\,\,\,\,\,\displaystyle\frac{100\div25}{125\div25}\)
\(\,\,\,\,\,\,\displaystyle\frac{4}{5}\)
\(\,\,\,\,\,\,\displaystyle\frac{100}{125}\)
\(\,\,\,\,\,\,\displaystyle\frac{100\div25}{125\div25}\)
\(\,\,\,\,\,\,\displaystyle\frac{4}{5}\)
\(\textbf{7)}\) \(\displaystyle\frac{36}{50}\)
The answer is \(\displaystyle\frac{18}{25}\)
\(\,\,\,\,\,\,\displaystyle\frac{36}{50}\)
\(\,\,\,\,\,\,\displaystyle\frac{36\div2}{50\div2}\)
\(\,\,\,\,\,\,\displaystyle\frac{18}{25}\)
\(\,\,\,\,\,\,\displaystyle\frac{36}{50}\)
\(\,\,\,\,\,\,\displaystyle\frac{36\div2}{50\div2}\)
\(\,\,\,\,\,\,\displaystyle\frac{18}{25}\)
\(\textbf{8)}\) \(\displaystyle\frac{19}{38}\)
The answer is \(\displaystyle\frac{1}{2}\)
\(\,\,\,\,\,\,\displaystyle\frac{19}{38}\)
\(\,\,\,\,\,\,\displaystyle\frac{19\div19}{38\div19}\)
\(\,\,\,\,\,\,\displaystyle\frac{1}{2}\)
\(\,\,\,\,\,\,\displaystyle\frac{19}{38}\)
\(\,\,\,\,\,\,\displaystyle\frac{19\div19}{38\div19}\)
\(\,\,\,\,\,\,\displaystyle\frac{1}{2}\)
\(\textbf{9)}\) \(\displaystyle\frac{15}{25}\)
The answer is \(\displaystyle\frac{3}{5}\)
\(\,\,\,\,\,\,\displaystyle\frac{15}{25}\)
\(\,\,\,\,\,\,\displaystyle\frac{15\div5}{25\div5}\)
\(\,\,\,\,\,\,\displaystyle\frac{3}{5}\)
\(\,\,\,\,\,\,\displaystyle\frac{15}{25}\)
\(\,\,\,\,\,\,\displaystyle\frac{15\div5}{25\div5}\)
\(\,\,\,\,\,\,\displaystyle\frac{3}{5}\)
\(\textbf{10)}\) \(\displaystyle\frac{14}{21}\)
The answer is \(\displaystyle\frac{2}{3}\)
\(\,\,\,\,\,\,\displaystyle\frac{14}{21}\)
\(\,\,\,\,\,\,\displaystyle\frac{14\div7}{21\div7}\)
\(\,\,\,\,\,\,\displaystyle\frac{2}{3}\)
\(\,\,\,\,\,\,\displaystyle\frac{14}{21}\)
\(\,\,\,\,\,\,\displaystyle\frac{14\div7}{21\div7}\)
\(\,\,\,\,\,\,\displaystyle\frac{2}{3}\)
\(\textbf{11)}\) \(\displaystyle\frac{65}{85}\)
The answer is \(\displaystyle\frac{13}{17}\)
\(\,\,\,\,\,\,\displaystyle\frac{65}{85}\)
\(\,\,\,\,\,\,\displaystyle\frac{65\div5}{85\div5}\)
\(\,\,\,\,\,\,\displaystyle\frac{13}{17}\)
\(\,\,\,\,\,\,\displaystyle\frac{65}{85}\)
\(\,\,\,\,\,\,\displaystyle\frac{65\div5}{85\div5}\)
\(\,\,\,\,\,\,\displaystyle\frac{13}{17}\)
\(\textbf{12)}\) \(\displaystyle\frac{27}{81}\)
The answer is \(\displaystyle\frac{1}{3}\)
\(\,\,\,\,\,\,\displaystyle\frac{27}{81}\)
\(\,\,\,\,\,\,\displaystyle\frac{27\div27}{81\div27}\)
\(\,\,\,\,\,\,\displaystyle\frac{1}{3}\)
\(\,\,\,\,\,\,\displaystyle\frac{27}{81}\)
\(\,\,\,\,\,\,\displaystyle\frac{27\div27}{81\div27}\)
\(\,\,\,\,\,\,\displaystyle\frac{1}{3}\)
\(\textbf{13)}\) \(\displaystyle\frac{120}{350}\)
The answer is \(\displaystyle\frac{12}{35}\)
\(\,\,\,\,\,\,\displaystyle\frac{120}{350}\)
\(\,\,\,\,\,\,\displaystyle\frac{120\div10}{350\div10}\)
\(\,\,\,\,\,\,\displaystyle\frac{12}{35}\)
\(\,\,\,\,\,\,\displaystyle\frac{120}{350}\)
\(\,\,\,\,\,\,\displaystyle\frac{120\div10}{350\div10}\)
\(\,\,\,\,\,\,\displaystyle\frac{12}{35}\)
\(\textbf{14)}\) \(\displaystyle\frac{44}{99}\)
The answer is \(\displaystyle\frac{4}{9}\)
\(\,\,\,\,\,\,\displaystyle\frac{44}{99}\)
\(\,\,\,\,\,\,\displaystyle\frac{44\div11}{99\div11}\)
\(\,\,\,\,\,\,\displaystyle\frac{4}{9}\)
\(\,\,\,\,\,\,\displaystyle\frac{44}{99}\)
\(\,\,\,\,\,\,\displaystyle\frac{44\div11}{99\div11}\)
\(\,\,\,\,\,\,\displaystyle\frac{4}{9}\)
\(\textbf{15)}\) \(\displaystyle\frac{26}{39}\)
The answer is \(\displaystyle\frac{2}{3}\)
\(\,\,\,\,\,\,\displaystyle\frac{26}{39}\)
\(\,\,\,\,\,\,\displaystyle\frac{26\div13}{39\div13}\)
\(\,\,\,\,\,\,\displaystyle\frac{2}{3}\)
\(\,\,\,\,\,\,\displaystyle\frac{26}{39}\)
\(\,\,\,\,\,\,\displaystyle\frac{26\div13}{39\div13}\)
\(\,\,\,\,\,\,\displaystyle\frac{2}{3}\)
\(\textbf{16)}\) \(\displaystyle\frac{2}{52}\)
The answer is \(\displaystyle\frac{1}{26}\)
\(\,\,\,\,\,\,\displaystyle\frac{2}{52}\)
\(\,\,\,\,\,\,\displaystyle\frac{2\div2}{52\div2}\)
\(\,\,\,\,\,\,\displaystyle\frac{1}{26}\)
\(\,\,\,\,\,\,\displaystyle\frac{2}{52}\)
\(\,\,\,\,\,\,\displaystyle\frac{2\div2}{52\div2}\)
\(\,\,\,\,\,\,\displaystyle\frac{1}{26}\)
\(\textbf{17)}\) \(\displaystyle\frac{25}{100}\)
The answer is \(\displaystyle\frac{1}{4}\)
\(\,\,\,\,\,\,\displaystyle\frac{25}{100}\)
\(\,\,\,\,\,\,\displaystyle\frac{25\div25}{100\div25}\)
\(\,\,\,\,\,\,\displaystyle\frac{1}{4}\)
\(\,\,\,\,\,\,\displaystyle\frac{25}{100}\)
\(\,\,\,\,\,\,\displaystyle\frac{25\div25}{100\div25}\)
\(\,\,\,\,\,\,\displaystyle\frac{1}{4}\)
\(\textbf{18)}\) \(\displaystyle\frac{14}{50}\)
The answer is \(\displaystyle\frac{7}{25}\)
\(\,\,\,\,\,\,\displaystyle\frac{14}{50}\)
\(\,\,\,\,\,\,\displaystyle\frac{14\div2}{50\div2}\)
\(\,\,\,\,\,\,\displaystyle\frac{7}{25}\)
\(\,\,\,\,\,\,\displaystyle\frac{14}{50}\)
\(\,\,\,\,\,\,\displaystyle\frac{14\div2}{50\div2}\)
\(\,\,\,\,\,\,\displaystyle\frac{7}{25}\)
\(\textbf{19)}\) \(\displaystyle\frac{4}{100}\)
The answer is \(\displaystyle\frac{1}{25}\)
\(\,\,\,\,\,\,\displaystyle\frac{4}{100}\)
\(\,\,\,\,\,\,\displaystyle\frac{4\div4}{100\div4}\)
\(\,\,\,\,\,\,\displaystyle\frac{1}{25}\)
\(\,\,\,\,\,\,\displaystyle\frac{4}{100}\)
\(\,\,\,\,\,\,\displaystyle\frac{4\div4}{100\div4}\)
\(\,\,\,\,\,\,\displaystyle\frac{1}{25}\)
\(\textbf{20)}\) \(\displaystyle\frac{48}{72}\)
The answer is \(\displaystyle\frac{2}{3}\)
\(\,\,\,\,\,\,\displaystyle\frac{48}{72}\)
\(\,\,\,\,\,\,\displaystyle\frac{48\div24}{72\div24}\)
\(\,\,\,\,\,\,\displaystyle\frac{2}{3}\)
\(\,\,\,\,\,\,\displaystyle\frac{48}{72}\)
\(\,\,\,\,\,\,\displaystyle\frac{48\div24}{72\div24}\)
\(\,\,\,\,\,\,\displaystyle\frac{2}{3}\)
\(\textbf{21)}\) \(\displaystyle\frac{7}{13}\)
The answer is \(\displaystyle\frac{7}{13}\). The fraction is already in simplest form.
\(\,\,\,\,\,\,\displaystyle\frac{7}{13}\)
The only common factor of 7 and 13 is 1.
\(\,\,\,\,\,\,\operatorname{GCF}(7,13)=1\)
\(\,\,\,\,\,\,\displaystyle\frac{7}{13}\) is already simplified.
\(\,\,\,\,\,\,\displaystyle\frac{7}{13}\)
The only common factor of 7 and 13 is 1.
\(\,\,\,\,\,\,\operatorname{GCF}(7,13)=1\)
\(\,\,\,\,\,\,\displaystyle\frac{7}{13}\) is already simplified.
\(\textbf{22)}\) \(\displaystyle\frac{18}{18}\)
The answer is \(1\)
\(\,\,\,\,\,\,\displaystyle\frac{18}{18}\)
\(\,\,\,\,\,\,\displaystyle\frac{18\div18}{18\div18}\)
\(\,\,\,\,\,\,\displaystyle\frac{1}{1}\)
\(\,\,\,\,\,\,1\)
\(\,\,\,\,\,\,\displaystyle\frac{18}{18}\)
\(\,\,\,\,\,\,\displaystyle\frac{18\div18}{18\div18}\)
\(\,\,\,\,\,\,\displaystyle\frac{1}{1}\)
\(\,\,\,\,\,\,1\)
\(\textbf{23)}\) \(\displaystyle\frac{24}{18}\)
The answer is \(\displaystyle\frac{4}{3}\)
\(\,\,\,\,\,\,\displaystyle\frac{24}{18}\)
\(\,\,\,\,\,\,\displaystyle\frac{24\div6}{18\div6}\)
\(\,\,\,\,\,\,\displaystyle\frac{4}{3}\)
This is an improper fraction in simplest form.
\(\,\,\,\,\,\,\displaystyle\frac{24}{18}\)
\(\,\,\,\,\,\,\displaystyle\frac{24\div6}{18\div6}\)
\(\,\,\,\,\,\,\displaystyle\frac{4}{3}\)
This is an improper fraction in simplest form.
\(\textbf{24)}\) \(\displaystyle\frac{84}{126}\)
The answer is \(\displaystyle\frac{2}{3}\)
\(\,\,\,\,\,\,\displaystyle\frac{84}{126}\)
First divide both numbers by 2.
\(\,\,\,\,\,\,\displaystyle\frac{84\div2}{126\div2}=\frac{42}{63}\)
Then divide both numbers by 21.
\(\,\,\,\,\,\,\displaystyle\frac{42\div21}{63\div21}=\frac{2}{3}\)
\(\,\,\,\,\,\,\displaystyle\frac{84}{126}\)
First divide both numbers by 2.
\(\,\,\,\,\,\,\displaystyle\frac{84\div2}{126\div2}=\frac{42}{63}\)
Then divide both numbers by 21.
\(\,\,\,\,\,\,\displaystyle\frac{42\div21}{63\div21}=\frac{2}{3}\)
See Related Pages\(\)
\(\bullet\text{ Reducing Fractions}\)
\(\,\,\,\,\,\,\,\,\frac{9}{15}=\frac{3}{5}…\)
\(\bullet\text{ Comparing Fractions}\)
\(\,\,\,\,\,\,\,\,\frac{3}{4} \bigcirc \frac{4}{5}…\)
\(\bullet\text{ Adding and Subtracting Fractions}\)
\(\,\,\,\,\,\,\,\,\frac{4}{5}+\frac{2}{3}…\)
\(\bullet\text{ Multiplying Fractions}\)
\(\,\,\,\,\,\,\,\,\frac{2}{5}\times\frac{5}{8}…\)
\(\bullet\text{ Dividing Fractions}\)
\(\,\,\,\,\,\,\,\,\frac{2}{7}\div\frac{1}{5}…\)
\(\bullet\text{ Improper Fractions and Mixed Numbers}\)
\(\,\,\,\,\,\,\,\,\frac{35}{4}=8\frac{3}{4}…\)
\(\bullet\text{ Dividing Mixed Numbers}\)
\(\,\,\,\,\,\,\,\,3 \frac{2}{3}÷1 \frac{1}{5}…\)