7/8 + 3/14 as a fraction

Learn how to find what is 7/8 plus 3/14 in fraction form just in a few minutes. We have covered the easiest method to write 7/8 + 3/14 as a fraction and decimal.

Summary: 7/8 plus 3/14 = 61/56
Since both fractions have unequal denominators, 7/8 plus 3/14 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/8 and fraction 3/14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 14. 56 is the LCM of 8 and 14. Multiplying the LCM 56 with the numerators and denominators of both fractions (7/8 x 56/56) + (3/14 x 56/56), and simplify further in order to have the common denominator. So the equivalent fraction for 7/8 is 49/56 and for 3/14 is 12/56. By simplifying this fraction addition 49/56 + 12/56, it becomes 61/56.

CALCULATION: 7/8 + 3/14 as a fraction
7/8 + 3/14 = (?)
7/8 + 3/14 = [(7 x 14) + (3 x 8)]/(8 x 14)
= (98 + 24)/112
= 122/112
= (2 x 61)/(2 x 56)
= 61/56
7/8 + 3/14 = 61/56
7/8 plus 3/14 as a fraction is 61/56.

where
7/8 is a proper fraction as an addend,
3/14 is a proper fraction as an addend,
61/56 is the sum of 7/8 and 3/14.

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7/8 plus 3/14 as a decimal
7/8 + 3/14 = 61/56
61/56 = 1.0893
(7/8) + (3/14) as a decimal is 1.0893

where
1.0893 is the sum of 7/8 and 3/14.

The below workout with step by step calculation shows how to find the equivalent fraction between 7/8 and 3/14 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/8 plus 3/14 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(7/8) + (3/14) using LCM Method:
What is 7/8 plus 3/14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 3/14

What to be found?
(7/8) + (3/14) = ?
Find what's the sum of 7/8 and 3/14.

step 2 Compare the denominators of fractions 7/8 and 3/14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/8 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 7/8 and 3/14:
The LCM of 8 and 14 is 56.

step 4 Write the fractions 7/8 and 3/14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/8 + 3/14
= [(7 x 56)/(8 x 56)] + [(3 x 56)/(14 x 56)]

step 5 Simplify the expression to have common denominator:
= 49/56 + 12/56

step 6 Take the common values out and rewrite the above expression like the below:
= 1/56 x (49/1 + 12/1)
= 1/56 x (49 + 12)

step 7Simplify the above expression further:
= 1/56 x 61
= 61/56
7/8 + 3/14 = 61/56

Hence,
7/8 plus 3/14 as a fraction is 61/56.

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7/8 + 3/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 3/14

What to be found?
(7/8)+(3/14) = ?
Find what's the sum of 7/8 and 3/14.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 14), find the product of numerator of Fraction B and denominator of Fraction A (3 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 14) and rewrite the equation as like the below:
= (7 x 14) + (3 x 8)/(8 x 14)

step 3 Simplify and rewrite the fraction:
= (98 + 24)/112
= 122/112
= 61/56
7/8 + 3/14 = 61/56

Hence,
7/8 plus 3/14 in fraction is 61/56