What is 9/1 + 8/10 in fraction?
9/1 + 8/10 equals to 49/5 in fraction form.
Learn how to find what is 9/1 plus 8/10 in fraction form just in a few minutes. We have covered the easiest method to write 9/1 + 8/10 as a fraction and decimal.
Summary: 9/1 plus 8/10 = 49/5
Since both fractions have unequal denominators, 9/1 plus 8/10 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 9/1 and fraction 8/10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 10. 10 is the LCM of 1 and 10. Multiplying the LCM 10 with the numerators and denominators of both fractions (9/1 x 10/10) + (8/10 x 10/10), and simplify further in order to have the common denominator. So the equivalent fraction for 9/1 is 90/10 and for 8/10 is 8/10. By simplifying this fraction addition 90/10 + 8/10, it becomes 98/10.
The below workout with step by step calculation shows how to find the equivalent fraction between 9/1 and 8/10 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 9/1 plus 8/10 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(9/1) + (8/10) using LCM Method:
What is 9/1 plus 8/10 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/1
Fraction B: 8/10
What to be found?
(9/1) + (8/10) = ?
Find what's the sum of 9/1 and 8/10.
step 2 Compare the denominators of fractions 9/1 and 8/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/1 and 8/10 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 9/1 and 8/10:
The LCM of 1 and 10 is 10.
step 4 Write the fractions 9/1 and 8/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/1 + 8/10
= [(9 x 10)/(1 x 10)] + [(8 x 10)/(10 x 10)]
step 5 Simplify the expression to have common denominator:
= 90/10 + 8/10
step 6 Take the common values out and rewrite the above expression like the below:
= 1/10 x (90/1 + 8/1)
= 1/10 x (90 + 8)
step 7Simplify the above expression further:
= 1/10 x 98
= 98/10
= 49/5
9/1 + 8/10 = 49/5
Hence,
9/1 plus 8/10 as a fraction is 49/5.
9/1 + 8/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/1
Fraction B: 8/10
What to be found?
(9/1)+(8/10) = ?
Find what's the sum of 9/1 and 8/10.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 10), find the product of numerator of Fraction B and denominator of Fraction A (8 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 10) and rewrite the equation as like the below:
= (9 x 10) + (8 x 1)/(1 x 10)
step 3 Simplify and rewrite the fraction:
= (90 + 8)/10
= 98/10
= 49/5
9/1 + 8/10 = 49/5
Hence,
9/1 plus 8/10 in fraction is 49/5