What is 1/6 plus 18 in fraction?
1/6 plus 18 equals to 109/6 in fraction form.
Learn how to find what is 1/6 plus 18 in fraction form just in a few minutes. We have covered the easiest method to write 1/6 + 18 as a fraction and decimal.
Summary: 1/6 plus 18
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/6 and 18 having identical denominators before starting adding the fractions. Find the LCM of denominators, 6 is the LCM of 6 and 1. Multiply the LCM 6 with all the numerators and denominators of both fractions (1/6 x 6/6) + (18 x 6/6) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 109/6.
The below workout with step by step calculation shows how to find the equivalent fraction between 1/6 and 18 by adding fraction to a whole number . The sum in fraction form for 1/6 plus 18/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/6+18 using LCM Method:
What is 1/6 plus 18 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 18/1
What to be found?
1/6+18 = ?
Find what's the sum of 1/6 and 18.
step 2 Compare the denominators of fractions 1/6 and 18 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/6 and 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 1/6 and 18:
The LCM of 6 and 1 is 6.
step 4 Write the fractions 1/6 and 18 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/6+18
=(1 x 6)/(6 x 6)+(18 x 6)/(1 x 6)
step 5 Simplify the expression to have common denominator:
=1/6+108/6
step 6 Take the common values out and rewrite the above expression like the below:
=1/6 x (1/1+108/1)
=1/6 x (1 + 108)
step 7Simplify the above expression further:
=1/6 x 109
=109/6
1/6+18=109/6
Hence,
1/6 plus 18 equals to 109/6 in fraction.
1/6+18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 18/1
What to be found?
1/6+18 = ?
Find what's the sum of 1/6 and 18.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 1), find the product of numerator of Fraction B and denominator of Fraction A (18 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 1) and rewrite the equation as like the below:
= (1 x 1) + (18 x 6)/(6 x 1)
step 3 Simplify and rewrite the fraction:
= (1 + 108)/6
1/6+18 = 109/6
Hence,
1/6 plus 18 = 109/6