What is 1/4 plus 1/18 in fraction?
1/4 plus 1/18 equals to 11/36 in fraction form.
1/4 + 1/18 in fraction form
Learn how to find what is 1/4 plus 1/18 in fraction form just in a few minutes. We have covered the easiest method to write 1/4 + 1/18 as a fraction and decimal.
Summary: 1/4 plus 1/18
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/4 and 1/18 having identical denominators before starting adding the fractions. Find the LCM of denominators, 36 is the LCM of 4 and 18. Multiply the LCM 36 with all the numerators and denominators of both fractions (1/4 x 36/36) + (1/18 x 36/36) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 11/36.
1/4+1/18 as a fraction
1/4 + 1/18 = (?)
1/4 + 1/18 = [(1 x 18) + (1 x 4)]/(4 x 18)
= (18 + 4)/72
= 22/72
= (2 x 11)/(2 x 36)
= 11/36
1/4 + 1/18 = 11/36
1/4 plus 1/18 as a fraction is 11/36.
where
1/4 is a fraction as an addend,
1/18 is a fraction as an addend,
11/36 is the sum of 1/4 and 1/18.
1/4 plus 1/18 as a decimal
1/4 + 1/18 = 11/36
11/36 = 0.3056
1/4+1/18 as a decimal is 0.3056
where
0.3056 is the sum of 1/4 and 1/18.
How to find 1/4+1/18 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 1/4 and 1/18 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/4 plus 1/18 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/4+1/18 using LCM Method:
What is 1/4 plus 1/18 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 1/18
What to be found?
1/4+1/18 = ?
Find what's the sum of 1/4 and 1/18.
step 2 Compare the denominators of fractions 1/4 and 1/18 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/4 and 1/18 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 1/4 and 1/18:
The LCM of 4 and 18 is 36.
step 4 Write the fractions 1/4 and 1/18 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/4+1/18
=(1 x 36)/(4 x 36)+(1 x 36)/(18 x 36)
step 5 Simplify the expression to have common denominator:
=9/36+2/36
step 6 Take the common values out and rewrite the above expression like the below:
=1/36 x (9/1+2/1)
=1/36 x (9 + 2)
step 7Simplify the above expression further:
=1/36 x 11
=11/36
1/4+1/18=11/36
Hence,
1/4 plus 1/18 equals to 11/36 in fraction.
1/4+1/18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 1/18
What to be found?
1/4+1/18 = ?
Find what's the sum of 1/4 and 1/18.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 18), 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 18) and rewrite the equation as like the below:
= (1 x 18) + (1 x 4)/(4 x 18)
step 3 Simplify and rewrite the fraction:
= (18 + 4)/72
= 22/72
= 11/36
1/4+1/18 = 11/36
Hence,
1/4 plus 1/18 = 11/36