Proper Fraction
Proper fraction is an important type of fraction in an fractional chapter. Proper fraction consists of two terms that is numerator term and the denominator term. But the axiom that is given to the proper fraction is the numerator value is lower than the denominator value. If the axiom satisfies then it is known as the proper fraction.
If the numerator in a fraction is lesser than the denominator, assuming both are positive, that fraction is said to be a Proper Fraction. It represents number between 0 and 1.
The base number has always been larger than the top number. The top number, which tells you how many part you have, is called the numerator. The base number, which tells you how many equal part the strip is divided into, is called the denominator. If the top number is lesser than the bottom number we always have what is called a proper fraction. It has always less than one value.
Example: $\frac{1}{3}$, $\frac{5}{8}$, $\frac{2}{4}$
Below are the examples based on proper fractions -
Solved Examples
Solution:
Step 2: Since the denominators are same so, we can add the numerators
Step 3: $\frac{1+2}{3}$
= $\frac{3}{3}$
Solution:
Step 2: Multiply the two fractions directly
= $\frac{5}{6}$ x $\frac{3}{4}$
= $\frac{5\times3}{6\times4}$
Step 3: Finally we get the answer for this problem as:
= $\frac{15}{24}$
Divide the numerator and the denominator by 3
Solution:
Step 2: Divide the first fraction $\frac{2}{4}$ by $\frac{5}{6}$
Step 3: $\frac{\frac{2}{4}}{\frac{5}{6}}$
= $\frac{2}{4}$ × $\frac{6}{5}$ [Since the division is the inverse of multiplication.]
Step 4: Now do normal multiplication
$\frac{2}{4}$ × $\frac{6}{5}$ = $\frac{2\times6}{4\times5}$ = $\frac{12}{20}$
Now divide the numerator and denominator by 4
