18/5 + 7 as a fraction

Learn how to find what is 18/5 plus 7 in fraction form just in a few minutes. We have covered the easiest method to write 18/5 + 7 as a fraction and decimal.

Summary: 18/5 plus 7 = 53/5
Since both fractions have unequal denominators, 18/5 plus 7 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 18/5 and fraction 7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 1. 5 is the LCM of 5 and 1. Multiplying the LCM 5 with the numerators and denominators of both fractions (18/5 x 5/5) + (7 x 5/5), and simplify further in order to have the common denominator. So the equivalent fraction for 18/5 is 18/5 and for 7 is 35/5. By simplifying this fraction addition 18/5 + 35/5, it becomes 53/5.

CALCULATION: 18/5 + 7 as a fraction
18/5 + 7 = (?)
18/5 + 7/1 = [(18 x 1) + (7 x 5)]/(5 x 1)
= (18 + 35)/5
= 53/5
18/5 + 7 = 53/5
18/5 plus 7 as a fraction is 53/5.

where
18/5 is a improper fraction as an addend,
7 is a whole number as an addend,
53/5 is the sum of 18/5 and 7.

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18/5 plus 7 as a decimal
18/5 + 7 = 53/5
53/5 = 10.6
(18/5) + (7) as a decimal is 10.6

where
10.6 is the sum of 18/5 and 7.

The below workout with step by step calculation shows how to find the equivalent fraction between 18/5 and 7 by adding fraction to a whole number . The sum in fraction form for 18/5 plus 7/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(18/5) + (7) using LCM Method:
What is 18/5 plus 7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/5
Fraction B: 7/1

What to be found?
(18/5) + (7) = ?
Find what's the sum of 18/5 and 7.

step 2 Compare the denominators of fractions 18/5 and 7 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 18/5 and 7 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 18/5 and 7:
The LCM of 5 and 1 is 5.

step 4 Write the fractions 18/5 and 7 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 18/5 + 7
= [(18 x 5)/(5 x 5)] + [(7 x 5)/(1 x 5)]

step 5 Simplify the expression to have common denominator:
= 18/5 + 35/5

step 6 Take the common values out and rewrite the above expression like the below:
= 1/5 x (18/1 + 35/1)
= 1/5 x (18 + 35)

step 7Simplify the above expression further:
= 1/5 x 53
= 53/5
18/5 + 7 = 53/5

Hence,
18/5 plus 7 as a fraction is 53/5.

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18/5 + 7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/5
Fraction B: 7/1

What to be found?
(18/5)+(7) = ?
Find what's the sum of 18/5 and 7.

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 (7 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 1) and rewrite the equation as like the below:
= (18 x 1) + (7 x 5)/(5 x 1)

step 3 Simplify and rewrite the fraction:
= (18 + 35)/5
18/5 + 7 = 53/5

Hence,
18/5 plus 7 in fraction is 53/5