What is 3/4 plus 1/6 in fraction?
3/4 plus 1/6 equals to 11/12 in fraction form.
Learn how to find what is 3/4 plus 1/6 in fraction form just in a few minutes. We have covered the easiest method to write 3/4 + 1/6 as a fraction and decimal.
Summary: 3/4 plus 1/6
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 3/4 and 1/6 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) + (1/6 x 12/12) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 11/12.
The below workout with step by step calculation shows how to find the equivalent fraction between 3/4 and 1/6 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/4 plus 1/6 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
3/4+1/6 using LCM Method:
What is 3/4 plus 1/6 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 1/6
What to be found?
3/4+1/6 = ?
Find what's the sum of 3/4 and 1/6.
step 2 Compare the denominators of fractions 3/4 and 1/6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/4 and 1/6 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 1/6:
The LCM of 4 and 6 is 12.
step 4 Write the fractions 3/4 and 1/6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/4+1/6
=(3 x 12)/(4 x 12)+(1 x 12)/(6 x 12)
step 5 Simplify the expression to have common denominator:
=9/12+2/12
step 6 Take the common values out and rewrite the above expression like the below:
=1/12 x (9/1+2/1)
=1/12 x (9 + 2)
step 7Simplify the above expression further:
=1/12 x 11
=11/12
3/4+1/6=11/12
Hence,
3/4 plus 1/6 equals to 11/12 in fraction.
3/4+1/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 1/6
What to be found?
3/4+1/6 = ?
Find what's the sum of 3/4 and 1/6.
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 (1 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) + (1 x 4)/(4 x 6)
step 3 Simplify and rewrite the fraction:
= (18 + 4)/24
= 22/24
= 11/12
3/4+1/6 = 11/12
Hence,
3/4 plus 1/6 = 11/12