What is 18/7 + 5 in fraction?
18/7 + 5 equals to 53/7 in fraction form.
Learn how to find what is 18/7 plus 5 in fraction form just in a few minutes. We have covered the easiest method to write 18/7 + 5 as a fraction and decimal.
Summary: 18/7 plus 5 = 53/7
Since both fractions have unequal denominators, 18/7 plus 5 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 18/7 and fraction 5 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 (18/7 x 7/7) + (5 x 7/7), and simplify further in order to have the common denominator. So the equivalent fraction for 18/7 is 18/7 and for 5 is 35/7. By simplifying this fraction addition 18/7 + 35/7, it becomes 53/7.
The below workout with step by step calculation shows how to find the equivalent fraction between 18/7 and 5 by adding fraction to a whole number . The sum in fraction form for 18/7 plus 5/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(18/7) + (5) using LCM Method:
What is 18/7 plus 5 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/7
Fraction B: 5/1
What to be found?
(18/7) + (5) = ?
Find what's the sum of 18/7 and 5.
step 2 Compare the denominators of fractions 18/7 and 5 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 18/7 and 5 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 18/7 and 5:
The LCM of 7 and 1 is 7.
step 4 Write the fractions 18/7 and 5 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 18/7 + 5
= [(18 x 7)/(7 x 7)] + [(5 x 7)/(1 x 7)]
step 5 Simplify the expression to have common denominator:
= 18/7 + 35/7
step 6 Take the common values out and rewrite the above expression like the below:
= 1/7 x (18/1 + 35/1)
= 1/7 x (18 + 35)
step 7Simplify the above expression further:
= 1/7 x 53
= 53/7
18/7 + 5 = 53/7
Hence,
18/7 plus 5 as a fraction is 53/7.
18/7 + 5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/7
Fraction B: 5/1
What to be found?
(18/7)+(5) = ?
Find what's the sum of 18/7 and 5.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (18 x 1), find the product of numerator of Fraction B and denominator of Fraction A (5 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:
= (18 x 1) + (5 x 7)/(7 x 1)
step 3 Simplify and rewrite the fraction:
= (18 + 35)/7
18/7 + 5 = 53/7
Hence,
18/7 plus 5 in fraction is 53/7