What is 11/1 + 5/8 in fraction?
11/1 + 5/8 equals to 93/8 in fraction form.
Learn how to find what is 11/1 plus 5/8 in fraction form just in a few minutes. We have covered the easiest method to write 11/1 + 5/8 as a fraction and decimal.
Summary: 11/1 plus 5/8 = 93/8
Since both fractions have unequal denominators, 11/1 plus 5/8 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 11/1 and fraction 5/8 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 8. 8 is the LCM of 1 and 8. Multiplying the LCM 8 with the numerators and denominators of both fractions (11/1 x 8/8) + (5/8 x 8/8), and simplify further in order to have the common denominator. So the equivalent fraction for 11/1 is 88/8 and for 5/8 is 5/8. By simplifying this fraction addition 88/8 + 5/8, it becomes 93/8.
The below workout with step by step calculation shows how to find the equivalent fraction between 11/1 and 5/8 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 11/1 plus 5/8 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(11/1) + (5/8) using LCM Method:
What is 11/1 plus 5/8 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/1
Fraction B: 5/8
What to be found?
(11/1) + (5/8) = ?
Find what's the sum of 11/1 and 5/8.
step 2 Compare the denominators of fractions 11/1 and 5/8 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 11/1 and 5/8 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 11/1 and 5/8:
The LCM of 1 and 8 is 8.
step 4 Write the fractions 11/1 and 5/8 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 11/1 + 5/8
= [(11 x 8)/(1 x 8)] + [(5 x 8)/(8 x 8)]
step 5 Simplify the expression to have common denominator:
= 88/8 + 5/8
step 6 Take the common values out and rewrite the above expression like the below:
= 1/8 x (88/1 + 5/1)
= 1/8 x (88 + 5)
step 7Simplify the above expression further:
= 1/8 x 93
= 93/8
11/1 + 5/8 = 93/8
Hence,
11/1 plus 5/8 as a fraction is 93/8.
11/1 + 5/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 11/1
Fraction B: 5/8
What to be found?
(11/1)+(5/8) = ?
Find what's the sum of 11/1 and 5/8.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (11 x 8), find the product of numerator of Fraction B and denominator of Fraction A (5 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 8) and rewrite the equation as like the below:
= (11 x 8) + (5 x 1)/(1 x 8)
step 3 Simplify and rewrite the fraction:
= (88 + 5)/8
11/1 + 5/8 = 93/8
Hence,
11/1 plus 5/8 in fraction is 93/8