What is 8/7 + 14 in fraction?
8/7 + 14 equals to 106/7 in fraction form.
Learn how to find what is 8/7 plus 14 in fraction form just in a few minutes. We have covered the easiest method to write 8/7 + 14 as a fraction and decimal.
Summary: 8/7 plus 14 = 106/7
Since both fractions have unequal denominators, 8/7 plus 14 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 8/7 and fraction 14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 1. 7 is the LCM of 7 and 1. Multiplying the LCM 7 with the numerators and denominators of both fractions (8/7 x 7/7) + (14 x 7/7), and simplify further in order to have the common denominator. So the equivalent fraction for 8/7 is 8/7 and for 14 is 98/7. By simplifying this fraction addition 8/7 + 98/7, it becomes 106/7.
The below workout with step by step calculation shows how to find the equivalent fraction between 8/7 and 14 by adding fraction to a whole number . The sum in fraction form for 8/7 plus 14/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(8/7) + (14) using LCM Method:
What is 8/7 plus 14 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/7
Fraction B: 14/1
What to be found?
(8/7) + (14) = ?
Find what's the sum of 8/7 and 14.
step 2 Compare the denominators of fractions 8/7 and 14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 8/7 and 14 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 8/7 and 14:
The LCM of 7 and 1 is 7.
step 4 Write the fractions 8/7 and 14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 8/7 + 14
= [(8 x 7)/(7 x 7)] + [(14 x 7)/(1 x 7)]
step 5 Simplify the expression to have common denominator:
= 8/7 + 98/7
step 6 Take the common values out and rewrite the above expression like the below:
= 1/7 x (8/1 + 98/1)
= 1/7 x (8 + 98)
step 7Simplify the above expression further:
= 1/7 x 106
= 106/7
8/7 + 14 = 106/7
Hence,
8/7 plus 14 as a fraction is 106/7.
8/7 + 14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/7
Fraction B: 14/1
What to be found?
(8/7)+(14) = ?
Find what's the sum of 8/7 and 14.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 1), find the product of numerator of Fraction B and denominator of Fraction A (14 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 1) and rewrite the equation as like the below:
= (8 x 1) + (14 x 7)/(7 x 1)
step 3 Simplify and rewrite the fraction:
= (8 + 98)/7
8/7 + 14 = 106/7
Hence,
8/7 plus 14 in fraction is 106/7