What is 3/4 plus 3/6 in fraction?
3/4 plus 3/6 equals to 5/4 in fraction form.
3/4 + 3/6 in fraction form
Learn how to find what is 3/4 plus 3/6 in fraction form just in a few minutes. We have covered the easiest method to write 3/4 + 3/6 as a fraction and decimal.
Summary: 3/4 plus 3/6
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 3/4 and 3/6 having identical denominators before starting adding the fractions. Find the LCM of denominators, 12 is the LCM of 4 and 6. Multiply the LCM 12 with all the numerators and denominators of both fractions (3/4 x 12/12) + (3/6 x 12/12) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 15/12.
3/4+3/6 as a fraction
3/4 + 3/6 = (?)
3/4 + 3/6 = [(3 x 6) + (3 x 4)]/(4 x 6)
= (18 + 12)/24
= 30/24
= (6 x 5)/(6 x 4)
= 5/4
3/4 + 3/6 = 5/4
3/4 plus 3/6 as a fraction is 5/4.
where
3/4 is a fraction as an addend,
3/6 is a fraction as an addend,
5/4 is the sum of 3/4 and 3/6.
3/4 plus 3/6 as a decimal
3/4 + 3/6 = 5/4
5/4 = 1.25
3/4+3/6 as a decimal is 1.25
where
1.25 is the sum of 3/4 and 3/6.
How to find 3/4+3/6 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 3/4 and 3/6 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/4 plus 3/6 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
3/4+3/6 using LCM Method:
What is 3/4 plus 3/6 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 3/6
What to be found?
3/4+3/6 = ?
Find what's the sum of 3/4 and 3/6.
step 2 Compare the denominators of fractions 3/4 and 3/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/4 and 3/6 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 3/4 and 3/6:
The LCM of 4 and 6 is 12.
step 4 Write the fractions 3/4 and 3/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/4+3/6
=(3 x 12)/(4 x 12)+(3 x 12)/(6 x 12)
step 5 Simplify the expression to have common denominator:
=9/12+6/12
step 6 Take the common values out and rewrite the above expression like the below:
=1/12 x (9/1+6/1)
=1/12 x (9 + 6)
step 7Simplify the above expression further:
=1/12 x 15
= 15/12
=5/4
3/4+3/6=5/4
Hence,
3/4 plus 3/6 equals to 5/4 in fraction.
3/4+3/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 3/6
What to be found?
3/4+3/6 = ?
Find what's the sum of 3/4 and 3/6.
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 (3 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 6) and rewrite the equation as like the below:
= (3 x 6) + (3 x 4)/(4 x 6)
step 3 Simplify and rewrite the fraction:
= (18 + 12)/24
= 30/24
= 5/4
3/4+3/6 = 5/4
Hence,
3/4 plus 3/6 = 5/4