What is 6/5 + 14 in fraction?
6/5 + 14 equals to 76/5 in fraction form.
Learn how to find what is 6/5 plus 14 in fraction form just in a few minutes. We have covered the easiest method to write 6/5 + 14 as a fraction and decimal.
Summary: 6/5 plus 14 = 76/5
Since both fractions have unequal denominators, 6/5 plus 14 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 6/5 and fraction 14 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 (6/5 x 5/5) + (14 x 5/5), and simplify further in order to have the common denominator. So the equivalent fraction for 6/5 is 6/5 and for 14 is 70/5. By simplifying this fraction addition 6/5 + 70/5, it becomes 76/5.
The below workout with step by step calculation shows how to find the equivalent fraction between 6/5 and 14 by adding fraction to a whole number . The sum in fraction form for 6/5 plus 14/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(6/5) + (14) using LCM Method:
What is 6/5 plus 14 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/5
Fraction B: 14/1
What to be found?
(6/5) + (14) = ?
Find what's the sum of 6/5 and 14.
step 2 Compare the denominators of fractions 6/5 and 14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 6/5 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 6/5 and 14:
The LCM of 5 and 1 is 5.
step 4 Write the fractions 6/5 and 14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 6/5 + 14
= [(6 x 5)/(5 x 5)] + [(14 x 5)/(1 x 5)]
step 5 Simplify the expression to have common denominator:
= 6/5 + 70/5
step 6 Take the common values out and rewrite the above expression like the below:
= 1/5 x (6/1 + 70/1)
= 1/5 x (6 + 70)
step 7Simplify the above expression further:
= 1/5 x 76
= 76/5
6/5 + 14 = 76/5
Hence,
6/5 plus 14 as a fraction is 76/5.
6/5 + 14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/5
Fraction B: 14/1
What to be found?
(6/5)+(14) = ?
Find what's the sum of 6/5 and 14.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 1), find the product of numerator of Fraction B and denominator of Fraction A (14 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:
= (6 x 1) + (14 x 5)/(5 x 1)
step 3 Simplify and rewrite the fraction:
= (6 + 70)/5
6/5 + 14 = 76/5
Hence,
6/5 plus 14 in fraction is 76/5