4/7 + 1/2 as a fraction

Learn how to find what is 4/7 plus 1/2 in fraction form just in a few minutes. We have covered the easiest method to write 4/7 + 1/2 as a fraction and decimal.

Summary: 4/7 plus 1/2 = 15/14
Since both fractions have unequal denominators, 4/7 plus 1/2 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 4/7 and fraction 1/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 2. 14 is the LCM of 7 and 2. Multiplying the LCM 14 with the numerators and denominators of both fractions (4/7 x 14/14) + (1/2 x 14/14), and simplify further in order to have the common denominator. So the equivalent fraction for 4/7 is 8/14 and for 1/2 is 7/14. By simplifying this fraction addition 8/14 + 7/14, it becomes 15/14.

CALCULATION: 4/7 + 1/2 as a fraction
4/7 + 1/2 = (?)
4/7 + 1/2 = [(4 x 2) + (1 x 7)]/(7 x 2)
= (8 + 7)/14
= 15/14
4/7 + 1/2 = 15/14
4/7 plus 1/2 as a fraction is 15/14.

where
4/7 is a proper fraction as an addend,
1/2 is a proper fraction as an addend,
15/14 is the sum of 4/7 and 1/2.

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4/7 plus 1/2 as a decimal
4/7 + 1/2 = 15/14
15/14 = 1.0714
(4/7) + (1/2) as a decimal is 1.0714

where
1.0714 is the sum of 4/7 and 1/2.

The below workout with step by step calculation shows how to find the equivalent fraction between 4/7 and 1/2 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 4/7 plus 1/2 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(4/7) + (1/2) using LCM Method:
What is 4/7 plus 1/2 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/7
Fraction B: 1/2

What to be found?
(4/7) + (1/2) = ?
Find what's the sum of 4/7 and 1/2.

step 2 Compare the denominators of fractions 4/7 and 1/2 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 4/7 and 1/2 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 4/7 and 1/2:
The LCM of 7 and 2 is 14.

step 4 Write the fractions 4/7 and 1/2 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/7 + 1/2
= [(4 x 14)/(7 x 14)] + [(1 x 14)/(2 x 14)]

step 5 Simplify the expression to have common denominator:
= 8/14 + 7/14

step 6 Take the common values out and rewrite the above expression like the below:
= 1/14 x (8/1 + 7/1)
= 1/14 x (8 + 7)

step 7Simplify the above expression further:
= 1/14 x 15
= 15/14
4/7 + 1/2 = 15/14

Hence,
4/7 plus 1/2 as a fraction is 15/14.

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4/7 + 1/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/7
Fraction B: 1/2

What to be found?
(4/7)+(1/2) = ?
Find what's the sum of 4/7 and 1/2.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 2), find the product of numerator of Fraction B and denominator of Fraction A (1 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 2) and rewrite the equation as like the below:
= (4 x 2) + (1 x 7)/(7 x 2)

step 3 Simplify and rewrite the fraction:
= (8 + 7)/14
4/7 + 1/2 = 15/14

Hence,
4/7 plus 1/2 in fraction is 15/14