Question

How do you solve $ 13\dfrac{2}{9} - 7\dfrac{1}{3} $ and simplify the answer?

Answer 1

Hint: First of convert the given mixed fractions in the form of simple fractions. Mixed number is the combination of a whole number and the fraction. Fraction is the number expressed in the form of the numerator and the denominator. Then simplify the expression for the resultant required value.

Complete step-by-step answer:
Take the given expression: $ 13\dfrac{2}{9} - 7\dfrac{1}{3} $
Convert the given mixed fraction in the form of fraction.
 $ = \dfrac{{119}}{9} - \dfrac{{22}}{3} $
Find the LCM (least common multiple) in the above expression. LCM is the least or the smallest number with which the given numbers are exactly divisible. It is also known as the least common divisor.
 $ = \dfrac{{119}}{9} - \dfrac{{22 \times 3}}{{3 \times 3}} $
Simplify the above expression –
 $ = \dfrac{{119}}{9} - \dfrac{{66}}{9} $
When denominators are the same then the numerators are directly added or subtracted based on the given sign between the two fractions.
 $ = \dfrac{{119 - 66}}{9} $
Simplify the above fraction by subtracting the numerator.
 $ = \dfrac{{53}}{9} $
Convert the above fraction in the form of mixed fraction.
 $ = 5\dfrac{8}{9} $
This is the required solution.
So, the correct answer is “ $ 5\dfrac{8}{9} $ ”.

Note: Always remember that LCM is the highest number compared to HCF for two given numbers. Also, LCM contains the value of the HCF for the two given values. HCF (Highest common factor is also known as the greatest common factor. LCM (Least common multiple) is also known as the least common divisor.
Percentage is the number or ratio expressed as a fraction of hundred. Fractions are the part of the whole. Generally it represents any number of equal parts and it describes the part from a certain size and it is the number expressed in the form of numerator upon the denominator. Know the difference between the fraction and the percentage and apply accordingly.