What is 3/5 plus 2/6 in fraction?
3/5 plus 2/6 equals to 14/15 in fraction form.
3/5 + 2/6 in fraction form
Learn how to find what is 3/5 plus 2/6 in fraction form just in a few minutes. We have covered the easiest method to write 3/5 + 2/6 as a fraction and decimal.
Summary: 3/5 plus 2/6
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 3/5 and 2/6 having identical denominators before starting adding the fractions. Find the LCM of denominators, 30 is the LCM of 5 and 6. Multiply the LCM 30 with all the numerators and denominators of both fractions (3/5 x 30/30) + (2/6 x 30/30) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 28/30.
3/5+2/6 as a fraction
3/5 + 2/6 = (?)
3/5 + 2/6 = [(3 x 6) + (2 x 5)]/(5 x 6)
= (18 + 10)/30
= 28/30
= (2 x 14)/(2 x 15)
= 14/15
3/5 + 2/6 = 14/15
3/5 plus 2/6 as a fraction is 14/15.
where
3/5 is a fraction as an addend,
2/6 is a fraction as an addend,
14/15 is the sum of 3/5 and 2/6.
3/5 plus 2/6 as a decimal
3/5 + 2/6 = 14/15
14/15 = 0.9333
3/5+2/6 as a decimal is 0.9333
where
0.9333 is the sum of 3/5 and 2/6.
How to find 3/5+2/6 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 3/5 and 2/6 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/5 plus 2/6 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
3/5+2/6 using LCM Method:
What is 3/5 plus 2/6 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 2/6
What to be found?
3/5+2/6 = ?
Find what's the sum of 3/5 and 2/6.
step 2 Compare the denominators of fractions 3/5 and 2/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/5 and 2/6 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 2/6:
The LCM of 5 and 6 is 30.
step 4 Write the fractions 3/5 and 2/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/5+2/6
=(3 x 30)/(5 x 30)+(2 x 30)/(6 x 30)
step 5 Simplify the expression to have common denominator:
=18/30+10/30
step 6 Take the common values out and rewrite the above expression like the below:
=1/30 x (18/1+10/1)
=1/30 x (18 + 10)
step 7Simplify the above expression further:
=1/30 x 28
= 28/30
=14/15
3/5+2/6=14/15
Hence,
3/5 plus 2/6 equals to 14/15 in fraction.
3/5+2/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/5
Fraction B: 2/6
What to be found?
3/5+2/6 = ?
Find what's the sum of 3/5 and 2/6.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 6), find the product of numerator of Fraction B and denominator of Fraction A (2 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 6) and rewrite the equation as like the below:
= (3 x 6) + (2 x 5)/(5 x 6)
step 3 Simplify and rewrite the fraction:
= (18 + 10)/30
= 28/30
= 14/15
3/5+2/6 = 14/15
Hence,
3/5 plus 2/6 = 14/15