How are different types of fractions related to one another?

Relations between fractions

Improper fractions are those fractions where the numerators are greater than the denominators. 

Example: $\frac{ 6}{5}$, $1\frac{1}{3}$, $\frac{15}{9}$ and so on are improper fractions

Mixed fractions are those fractions where there is a whole number part and a proper fraction part.

Example:  $1\frac{ 1}{2}$, $3 \frac{1}{3}$, $10 \frac{1}{4} $and so on are mixed fractions

Improper fractions can be converted into Mixed fractions and

Example: $\frac{9}{4}$ = $2\frac{1}{4}$;  $\frac{11}{5}$= $2 \frac{1}{5}$ and so on

Mixed fractions can be converted into improper fractions

Example: $4\frac{1}{3}$ = $4\frac{(4x3+1)}{3}$ = $\frac{13}{3}$;  $12 \frac{1}{7}$ = $\frac{(12x7+1)}{7}$ = $\frac{85}{7}$

Like fractions are those fractions with same denominators and

Eg: $\frac{1}{2}, \frac{3}{2}, \frac{7}{2}$ are like fractions

Unlike fractions are those fractions with different denominators

Eg; $\frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \frac{2}{5}$ are unlike fractions

Unlike fractions can be converted into Like fractions and vice versa

Tutorialspoint

e

Updated on: 10-Oct-2022

27 Views

Kickstart Your Career

Get certified by completing the course

Get Started