Answer:
16 9/40
Step-by-step explanation:
Adding dissimilar mixed fraction
Given: 9 5/8 + 6 3/5 = N
Regroup the fractions add the whole number and then the fractions. Since it's dissimilar fraction you will gonna find the LCD (Least Common Denominator) using different methods, then divide it into the original denominator and the quotient will be multiplied to the numerator so the similar fraction is 9 25/40 + 6 24/40 add the numerator and copy the original denominator which is 15 49/40 but the numerator and denominator are improper fraction you need to change it into mixed fraction then add to the whole number 15 + 1 9/40 = 16 9/40
Changing/Converting the mixed fraction into improper fraction
By getting the improper fraction, just multiply ( ×/.) the whole number by the denominator and product plus (+) numerator, then the sum will become the numerator and just copy the original denominator.
Whole number × Denominator + Numerator = New Numerator and copy the original denominator.
Converting/Changing improper fraction into mixed fraction
Since the answer is improper fraction, you need to covert it into mixed fraction. Just divide the denominator and the numerator then, the quotient will be the whole number while the remainder will be the numerator and lastly the divisor will be the denominator.
Ex. 25 ÷ 8 = 3 r.1 so the final answer is 3 1/8
There are 3 things you should know if the fraction is in the lowest term.
- If the numerator is 1 it's automatically in the lowest term.
Ex. 1/2, 1/4, 1/5, 1/9, 1/3
- If the numerator and denominator are consecutive numbers and;
Ex. 2/3, 6/7, 9/10, 13/14, 20/21
- If the numerator and denominator has no common factors.
Ex. 19/27, 37/50, 2/9, 6/11, 4/9
(Note: always simplify and if possible and encircle your final answer.)
The solution is in the picture
Therefore, the final answer is 16 9/40
If you have any questions or clarifications regarding my answer, don't hesitate to ask it and if you want to learn more just visit my answer regarding the addition of fraction/s.
-Anne
