What is 9/5 + 8 in fraction?
9/5 + 8 equals to 49/5 in fraction form.
Learn how to find what is 9/5 plus 8 in fraction form just in a few minutes. We have covered the easiest method to write 9/5 + 8 as a fraction and decimal.
Summary: 9/5 plus 8 = 49/5
Since both fractions have unequal denominators, 9/5 plus 8 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 9/5 and fraction 8 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 1. 5 is the LCM of 5 and 1. Multiplying the LCM 5 with the numerators and denominators of both fractions (9/5 x 5/5) + (8 x 5/5), and simplify further in order to have the common denominator. So the equivalent fraction for 9/5 is 9/5 and for 8 is 40/5. By simplifying this fraction addition 9/5 + 40/5, it becomes 49/5.
The below workout with step by step calculation shows how to find the equivalent fraction between 9/5 and 8 by adding fraction to a whole number . The sum in fraction form for 9/5 plus 8/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(9/5) + (8) using LCM Method:
What is 9/5 plus 8 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/5
Fraction B: 8/1
What to be found?
(9/5) + (8) = ?
Find what's the sum of 9/5 and 8.
step 2 Compare the denominators of fractions 9/5 and 8 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/5 and 8 are not equal, it is said to be unlike fractions addition.
step 3For unlike fractions addition, find the LCM (least common multiple) of both denominators of fractions 9/5 and 8:
The LCM of 5 and 1 is 5.
step 4 Write the fractions 9/5 and 8 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/5 + 8
= [(9 x 5)/(5 x 5)] + [(8 x 5)/(1 x 5)]
step 5 Simplify the expression to have common denominator:
= 9/5 + 40/5
step 6 Take the common values out and rewrite the above expression like the below:
= 1/5 x (9/1 + 40/1)
= 1/5 x (9 + 40)
step 7Simplify the above expression further:
= 1/5 x 49
= 49/5
9/5 + 8 = 49/5
Hence,
9/5 plus 8 as a fraction is 49/5.
9/5 + 8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/5
Fraction B: 8/1
What to be found?
(9/5)+(8) = ?
Find what's the sum of 9/5 and 8.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 1), find the product of numerator of Fraction B and denominator of Fraction A (8 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 1) and rewrite the equation as like the below:
= (9 x 1) + (8 x 5)/(5 x 1)
step 3 Simplify and rewrite the fraction:
= (9 + 40)/5
9/5 + 8 = 49/5
Hence,
9/5 plus 8 in fraction is 49/5