What is 6/4 plus 4/3 in fraction?
6/4 plus 4/3 equals to 17/6 in fraction form.
Learn how to find what is 6/4 plus 4/3 in fraction form just in a few minutes. We have covered the easiest method to write 6/4 + 4/3 as a fraction and decimal.
Summary: 6/4 plus 4/3
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 6/4 and 4/3 having identical denominators before starting adding the fractions. Find the LCM of denominators, 12 is the LCM of 4 and 3. Multiply the LCM 12 with all the numerators and denominators of both fractions (6/4 x 12/12) + (4/3 x 12/12) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 34/12.
The below workout with step by step calculation shows how to find the equivalent fraction between 6/4 and 4/3 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 6/4 plus 4/3 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
6/4+4/3 using LCM Method:
What is 6/4 plus 4/3 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/4
Fraction B: 4/3
What to be found?
6/4+4/3 = ?
Find what's the sum of 6/4 and 4/3.
step 2 Compare the denominators of fractions 6/4 and 4/3 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 6/4 and 4/3 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 6/4 and 4/3:
The LCM of 4 and 3 is 12.
step 4 Write the fractions 6/4 and 4/3 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=6/4+4/3
=(6 x 12)/(4 x 12)+(4 x 12)/(3 x 12)
step 5 Simplify the expression to have common denominator:
=18/12+16/12
step 6 Take the common values out and rewrite the above expression like the below:
=1/12 x (18/1+16/1)
=1/12 x (18 + 16)
step 7Simplify the above expression further:
=1/12 x 34
= 34/12
=17/6
6/4+4/3=17/6
Hence,
6/4 plus 4/3 equals to 17/6 in fraction.
6/4+4/3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/4
Fraction B: 4/3
What to be found?
6/4+4/3 = ?
Find what's the sum of 6/4 and 4/3.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 3), find the product of numerator of Fraction B and denominator of Fraction A (4 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 3) and rewrite the equation as like the below:
= (6 x 3) + (4 x 4)/(4 x 3)
step 3 Simplify and rewrite the fraction:
= (18 + 16)/12
= 34/12
= 17/6
6/4+4/3 = 17/6
Hence,
6/4 plus 4/3 = 17/6