3/5 + 5/14 as a fraction

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

Summary: 3/5 plus 5/14 = 67/70
Since both fractions have unequal denominators, 3/5 plus 5/14 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 3/5 and fraction 5/14 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 (3/5 x 70/70) + (5/14 x 70/70), and simplify further in order to have the common denominator. So the equivalent fraction for 3/5 is 42/70 and for 5/14 is 25/70. By simplifying this fraction addition 42/70 + 25/70, it becomes 67/70.

Pie Chart Representation: 3/5 + 5/14 = 67/70

CALCULATION: 3/5 + 5/14 as a fraction
3/5 + 5/14 = (?)
3/5 + 5/14 = [(3 x 14) + (5 x 5)]/(5 x 14)
= (42 + 25)/70
= 67/70
3/5 + 5/14 = 67/70
3/5 plus 5/14 as a fraction is 67/70.

where
3/5 is a proper fraction as an addend,
5/14 is a proper fraction as an addend,
67/70 is the sum of 3/5 and 5/14.

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3/5 plus 5/14 as a decimal
3/5 + 5/14 = 67/70
67/70 = 0.9571
(3/5) + (5/14) as a decimal is 0.9571

where
0.9571 is the sum of 3/5 and 5/14.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 42/70 + 25/70

step 6 Take the common values out and rewrite the above expression like the below:
= 1/70 x (42/1 + 25/1)
= 1/70 x (42 + 25)

step 7Simplify the above expression further:
= 1/70 x 67
= 67/70
3/5 + 5/14 = 67/70

Hence,
3/5 plus 5/14 as a fraction is 67/70.

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

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

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 14), find the product of numerator of Fraction B and denominator of Fraction A (5 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:
= (3 x 14) + (5 x 5)/(5 x 14)

step 3 Simplify and rewrite the fraction:
= (42 + 25)/70
3/5 + 5/14 = 67/70

Hence,
3/5 plus 5/14 in fraction is 67/70