What is 6/7 plus 4/6 in fraction?
6/7 plus 4/6 equals to 32/21 in fraction form.
Learn how to find what is 6/7 plus 4/6 in fraction form just in a few minutes. We have covered the easiest method to write 6/7 + 4/6 as a fraction and decimal.
Summary: 6/7 plus 4/6
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 6/7 and 4/6 having identical denominators before starting adding the fractions. Find the LCM of denominators, 42 is the LCM of 7 and 6. Multiply the LCM 42 with all the numerators and denominators of both fractions (6/7 x 42/42) + (4/6 x 42/42) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 64/42.
The below workout with step by step calculation shows how to find the equivalent fraction between 6/7 and 4/6 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 6/7 plus 4/6 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
6/7+4/6 using LCM Method:
What is 6/7 plus 4/6 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/7
Fraction B: 4/6
What to be found?
6/7+4/6 = ?
Find what's the sum of 6/7 and 4/6.
step 2 Compare the denominators of fractions 6/7 and 4/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 6/7 and 4/6 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 6/7 and 4/6:
The LCM of 7 and 6 is 42.
step 4 Write the fractions 6/7 and 4/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=6/7+4/6
=(6 x 42)/(7 x 42)+(4 x 42)/(6 x 42)
step 5 Simplify the expression to have common denominator:
=36/42+28/42
step 6 Take the common values out and rewrite the above expression like the below:
=1/42 x (36/1+28/1)
=1/42 x (36 + 28)
step 7Simplify the above expression further:
=1/42 x 64
= 64/42
=32/21
6/7+4/6=32/21
Hence,
6/7 plus 4/6 equals to 32/21 in fraction.
6/7+4/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/7
Fraction B: 4/6
What to be found?
6/7+4/6 = ?
Find what's the sum of 6/7 and 4/6.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 6), find the product of numerator of Fraction B and denominator of Fraction A (4 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 6) and rewrite the equation as like the below:
= (6 x 6) + (4 x 7)/(7 x 6)
step 3 Simplify and rewrite the fraction:
= (36 + 28)/42
= 64/42
= 32/21
6/7+4/6 = 32/21
Hence,
6/7 plus 4/6 = 32/21