6/5 + 3/14 as a fraction

Learn how to find what is 6/5 plus 3/14 in fraction form just in a few minutes. We have covered the easiest method to write 6/5 + 3/14 as a fraction and decimal.

Summary: 6/5 plus 3/14 = 99/70
Since both fractions have unequal denominators, 6/5 plus 3/14 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 6/5 and fraction 3/14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 14. 70 is the LCM of 5 and 14. Multiplying the LCM 70 with the numerators and denominators of both fractions (6/5 x 70/70) + (3/14 x 70/70), and simplify further in order to have the common denominator. So the equivalent fraction for 6/5 is 84/70 and for 3/14 is 15/70. By simplifying this fraction addition 84/70 + 15/70, it becomes 99/70.

CALCULATION: 6/5 + 3/14 as a fraction
6/5 + 3/14 = (?)
6/5 + 3/14 = [(6 x 14) + (3 x 5)]/(5 x 14)
= (84 + 15)/70
= 99/70
6/5 + 3/14 = 99/70
6/5 plus 3/14 as a fraction is 99/70.

where
6/5 is a improper fraction as an addend,
3/14 is a proper fraction as an addend,
99/70 is the sum of 6/5 and 3/14.

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6/5 plus 3/14 as a decimal
6/5 + 3/14 = 99/70
99/70 = 1.4143
(6/5) + (3/14) as a decimal is 1.4143

where
1.4143 is the sum of 6/5 and 3/14.

The below workout with step by step calculation shows how to find the equivalent fraction between 6/5 and 3/14 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 6/5 plus 3/14 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(6/5) + (3/14) using LCM Method:
What is 6/5 plus 3/14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/5
Fraction B: 3/14

What to be found?
(6/5) + (3/14) = ?
Find what's the sum of 6/5 and 3/14.

step 2 Compare the denominators of fractions 6/5 and 3/14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 6/5 and 3/14 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 3/14:
The LCM of 5 and 14 is 70.

step 4 Write the fractions 6/5 and 3/14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 6/5 + 3/14
= [(6 x 70)/(5 x 70)] + [(3 x 70)/(14 x 70)]

step 5 Simplify the expression to have common denominator:
= 84/70 + 15/70

step 6 Take the common values out and rewrite the above expression like the below:
= 1/70 x (84/1 + 15/1)
= 1/70 x (84 + 15)

step 7Simplify the above expression further:
= 1/70 x 99
= 99/70
6/5 + 3/14 = 99/70

Hence,
6/5 plus 3/14 as a fraction is 99/70.

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6/5 + 3/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/5
Fraction B: 3/14

What to be found?
(6/5)+(3/14) = ?
Find what's the sum of 6/5 and 3/14.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 14), find the product of numerator of Fraction B and denominator of Fraction A (3 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 14) and rewrite the equation as like the below:
= (6 x 14) + (3 x 5)/(5 x 14)

step 3 Simplify and rewrite the fraction:
= (84 + 15)/70
6/5 + 3/14 = 99/70

Hence,
6/5 plus 3/14 in fraction is 99/70