What is 3/6 plus 2/7 in fraction?
3/6 plus 2/7 equals to 11/14 in fraction form.
3/6 + 2/7 in fraction form
Learn how to find what is 3/6 plus 2/7 in fraction form just in a few minutes. We have covered the easiest method to write 3/6 + 2/7 as a fraction and decimal.
Summary: 3/6 plus 2/7
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 3/6 and 2/7 having identical denominators before starting adding the fractions. Find the LCM of denominators, 42 is the LCM of 6 and 7. Multiply the LCM 42 with all the numerators and denominators of both fractions (3/6 x 42/42) + (2/7 x 42/42) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 33/42.
3/6+2/7 as a fraction
3/6 + 2/7 = (?)
3/6 + 2/7 = [(3 x 7) + (2 x 6)]/(6 x 7)
= (21 + 12)/42
= 33/42
= (3 x 11)/(3 x 14)
= 11/14
3/6 + 2/7 = 11/14
3/6 plus 2/7 as a fraction is 11/14.
where
3/6 is a fraction as an addend,
2/7 is a fraction as an addend,
11/14 is the sum of 3/6 and 2/7.
3/6 plus 2/7 as a decimal
3/6 + 2/7 = 11/14
11/14 = 0.7857
3/6+2/7 as a decimal is 0.7857
where
0.7857 is the sum of 3/6 and 2/7.
How to find 3/6+2/7 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 3/6 and 2/7 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/6 plus 2/7 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
3/6+2/7 using LCM Method:
What is 3/6 plus 2/7 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/6
Fraction B: 2/7
What to be found?
3/6+2/7 = ?
Find what's the sum of 3/6 and 2/7.
step 2 Compare the denominators of fractions 3/6 and 2/7 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/6 and 2/7 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 3/6 and 2/7:
The LCM of 6 and 7 is 42.
step 4 Write the fractions 3/6 and 2/7 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/6+2/7
=(3 x 42)/(6 x 42)+(2 x 42)/(7 x 42)
step 5 Simplify the expression to have common denominator:
=21/42+12/42
step 6 Take the common values out and rewrite the above expression like the below:
=1/42 x (21/1+12/1)
=1/42 x (21 + 12)
step 7Simplify the above expression further:
=1/42 x 33
= 33/42
=11/14
3/6+2/7=11/14
Hence,
3/6 plus 2/7 equals to 11/14 in fraction.
3/6+2/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/6
Fraction B: 2/7
What to be found?
3/6+2/7 = ?
Find what's the sum of 3/6 and 2/7.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 7), find the product of numerator of Fraction B and denominator of Fraction A (2 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 7) and rewrite the equation as like the below:
= (3 x 7) + (2 x 6)/(6 x 7)
step 3 Simplify and rewrite the fraction:
= (21 + 12)/42
= 33/42
= 11/14
3/6+2/7 = 11/14
Hence,
3/6 plus 2/7 = 11/14