What is 1/2 plus 5/14 in fraction?
1/2 plus 5/14 equals to 6/7 in fraction form.
1/2 + 5/14 in fraction form
Learn how to find what is 1/2 plus 5/14 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 + 5/14 as a fraction and decimal.
Summary: 1/2 plus 5/14
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/2 and 5/14 having identical denominators before starting adding the fractions. Find the LCM of denominators, 14 is the LCM of 2 and 14. Multiply the LCM 14 with all the numerators and denominators of both fractions (1/2 x 14/14) + (5/14 x 14/14) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 12/14.
1/2+5/14 as a fraction
1/2 + 5/14 = (?)
1/2 + 5/14 = [(1 x 14) + (5 x 2)]/(2 x 14)
= (14 + 10)/28
= 24/28
= (4 x 6)/(4 x 7)
= 6/7
1/2 + 5/14 = 6/7
1/2 plus 5/14 as a fraction is 6/7.
where
1/2 is a fraction as an addend,
5/14 is a fraction as an addend,
6/7 is the sum of 1/2 and 5/14.
1/2 plus 5/14 as a decimal
1/2 + 5/14 = 6/7
6/7 = 0.8571
1/2+5/14 as a decimal is 0.8571
where
0.8571 is the sum of 1/2 and 5/14.
How to find 1/2+5/14 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 1/2 and 5/14 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/2 plus 5/14 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/2+5/14 using LCM Method:
What is 1/2 plus 5/14 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 5/14
What to be found?
1/2+5/14 = ?
Find what's the sum of 1/2 and 5/14.
step 2 Compare the denominators of fractions 1/2 and 5/14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/2 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 1/2 and 5/14:
The LCM of 2 and 14 is 14.
step 4 Write the fractions 1/2 and 5/14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/2+5/14
=(1 x 14)/(2 x 14)+(5 x 14)/(14 x 14)
step 5 Simplify the expression to have common denominator:
=7/14+5/14
step 6 Take the common values out and rewrite the above expression like the below:
=1/14 x (7/1+5/1)
=1/14 x (7 + 5)
step 7Simplify the above expression further:
=1/14 x 12
= 12/14
=6/7
1/2+5/14=6/7
Hence,
1/2 plus 5/14 equals to 6/7 in fraction.
1/2+5/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 5/14
What to be found?
1/2+5/14 = ?
Find what's the sum of 1/2 and 5/14.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 14), find the product of numerator of Fraction B and denominator of Fraction A (5 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 14) and rewrite the equation as like the below:
= (1 x 14) + (5 x 2)/(2 x 14)
step 3 Simplify and rewrite the fraction:
= (14 + 10)/28
= 24/28
= 6/7
1/2+5/14 = 6/7
Hence,
1/2 plus 5/14 = 6/7