What is 6/7 + 18 in fraction?
6/7 + 18 equals to 132/7 in fraction form.
Learn how to find what is 6/7 plus 18 in fraction form just in a few minutes. We have covered the easiest method to write 6/7 + 18 as a fraction and decimal.
Summary: 6/7 plus 18 = 132/7
Since both fractions have unequal denominators, 6/7 plus 18 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 6/7 and fraction 18 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 1. 7 is the LCM of 7 and 1. Multiplying the LCM 7 with the numerators and denominators of both fractions (6/7 x 7/7) + (18 x 7/7), and simplify further in order to have the common denominator. So the equivalent fraction for 6/7 is 6/7 and for 18 is 126/7. By simplifying this fraction addition 6/7 + 126/7, it becomes 132/7.
The below workout with step by step calculation shows how to find the equivalent fraction between 6/7 and 18 by adding fraction to a whole number . The sum in fraction form for 6/7 plus 18/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(6/7) + (18) using LCM Method:
What is 6/7 plus 18 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/7
Fraction B: 18/1
What to be found?
(6/7) + (18) = ?
Find what's the sum of 6/7 and 18.
step 2 Compare the denominators of fractions 6/7 and 18 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 6/7 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 6/7 and 18:
The LCM of 7 and 1 is 7.
step 4 Write the fractions 6/7 and 18 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 6/7 + 18
= [(6 x 7)/(7 x 7)] + [(18 x 7)/(1 x 7)]
step 5 Simplify the expression to have common denominator:
= 6/7 + 126/7
step 6 Take the common values out and rewrite the above expression like the below:
= 1/7 x (6/1 + 126/1)
= 1/7 x (6 + 126)
step 7Simplify the above expression further:
= 1/7 x 132
= 132/7
6/7 + 18 = 132/7
Hence,
6/7 plus 18 as a fraction is 132/7.
6/7 + 18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/7
Fraction B: 18/1
What to be found?
(6/7)+(18) = ?
Find what's the sum of 6/7 and 18.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 1), find the product of numerator of Fraction B and denominator of Fraction A (18 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 1) and rewrite the equation as like the below:
= (6 x 1) + (18 x 7)/(7 x 1)
step 3 Simplify and rewrite the fraction:
= (6 + 126)/7
6/7 + 18 = 132/7
Hence,
6/7 plus 18 in fraction is 132/7