What is 7/8 + 12 in fraction?
7/8 + 12 equals to 103/8 in fraction form.
Learn how to find what is 7/8 plus 12 in fraction form just in a few minutes. We have covered the easiest method to write 7/8 + 12 as a fraction and decimal.
Summary: 7/8 plus 12 = 103/8
Since both fractions have unequal denominators, 7/8 plus 12 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/8 and fraction 12 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 1. 8 is the LCM of 8 and 1. Multiplying the LCM 8 with the numerators and denominators of both fractions (7/8 x 8/8) + (12 x 8/8), and simplify further in order to have the common denominator. So the equivalent fraction for 7/8 is 7/8 and for 12 is 96/8. By simplifying this fraction addition 7/8 + 96/8, it becomes 103/8.
The below workout with step by step calculation shows how to find the equivalent fraction between 7/8 and 12 by adding fraction to a whole number . The sum in fraction form for 7/8 plus 12/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(7/8) + (12) using LCM Method:
What is 7/8 plus 12 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 12/1
What to be found?
(7/8) + (12) = ?
Find what's the sum of 7/8 and 12.
step 2 Compare the denominators of fractions 7/8 and 12 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/8 and 12 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 7/8 and 12:
The LCM of 8 and 1 is 8.
step 4 Write the fractions 7/8 and 12 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/8 + 12
= [(7 x 8)/(8 x 8)] + [(12 x 8)/(1 x 8)]
step 5 Simplify the expression to have common denominator:
= 7/8 + 96/8
step 6 Take the common values out and rewrite the above expression like the below:
= 1/8 x (7/1 + 96/1)
= 1/8 x (7 + 96)
step 7Simplify the above expression further:
= 1/8 x 103
= 103/8
7/8 + 12 = 103/8
Hence,
7/8 plus 12 as a fraction is 103/8.
7/8 + 12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 12/1
What to be found?
(7/8)+(12) = ?
Find what's the sum of 7/8 and 12.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 1), find the product of numerator of Fraction B and denominator of Fraction A (12 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 1) and rewrite the equation as like the below:
= (7 x 1) + (12 x 8)/(8 x 1)
step 3 Simplify and rewrite the fraction:
= (7 + 96)/8
7/8 + 12 = 103/8
Hence,
7/8 plus 12 in fraction is 103/8