What is 2/3 plus 5/14 in fraction?
2/3 plus 5/14 equals to 43/42 in fraction form.
2/3 + 5/14 in fraction form
Learn how to find what is 2/3 plus 5/14 in fraction form just in a few minutes. We have covered the easiest method to write 2/3 + 5/14 as a fraction and decimal.
Summary: 2/3 plus 5/14
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/3 and 5/14 having identical denominators before starting adding the fractions. Find the LCM of denominators, 42 is the LCM of 3 and 14. Multiply the LCM 42 with all the numerators and denominators of both fractions (2/3 x 42/42) + (5/14 x 42/42) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 43/42.
2/3+5/14 as a fraction
2/3 + 5/14 = (?)
2/3 + 5/14 = [(2 x 14) + (5 x 3)]/(3 x 14)
= (28 + 15)/42
= 43/42
2/3 + 5/14 = 43/42
2/3 plus 5/14 as a fraction is 43/42.
where
2/3 is a fraction as an addend,
5/14 is a fraction as an addend,
43/42 is the sum of 2/3 and 5/14.
2/3 plus 5/14 as a decimal
2/3 + 5/14 = 43/42
43/42 = 1.0238
2/3+5/14 as a decimal is 1.0238
where
1.0238 is the sum of 2/3 and 5/14.
How to find 2/3+5/14 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 2/3 and 5/14 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/3 plus 5/14 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
2/3+5/14 using LCM Method:
What is 2/3 plus 5/14 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 5/14
What to be found?
2/3+5/14 = ?
Find what's the sum of 2/3 and 5/14.
step 2 Compare the denominators of fractions 2/3 and 5/14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/3 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 2/3 and 5/14:
The LCM of 3 and 14 is 42.
step 4 Write the fractions 2/3 and 5/14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/3+5/14
=(2 x 42)/(3 x 42)+(5 x 42)/(14 x 42)
step 5 Simplify the expression to have common denominator:
=28/42+15/42
step 6 Take the common values out and rewrite the above expression like the below:
=1/42 x (28/1+15/1)
=1/42 x (28 + 15)
step 7Simplify the above expression further:
=1/42 x 43
=43/42
2/3+5/14=43/42
Hence,
2/3 plus 5/14 equals to 43/42 in fraction.
2/3+5/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 5/14
What to be found?
2/3+5/14 = ?
Find what's the sum of 2/3 and 5/14.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 14), find the product of numerator of Fraction B and denominator of Fraction A (5 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 14) and rewrite the equation as like the below:
= (2 x 14) + (5 x 3)/(3 x 14)
step 3 Simplify and rewrite the fraction:
= (28 + 15)/42
2/3+5/14 = 43/42
Hence,
2/3 plus 5/14 = 43/42