18/7 + 5/16 as a fraction

Learn how to find what is 18/7 plus 5/16 in fraction form just in a few minutes. We have covered the easiest method to write 18/7 + 5/16 as a fraction and decimal.

Summary: 18/7 plus 5/16 = 323/112
Since both fractions have unequal denominators, 18/7 plus 5/16 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 18/7 and fraction 5/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 16. 112 is the LCM of 7 and 16. Multiplying the LCM 112 with the numerators and denominators of both fractions (18/7 x 112/112) + (5/16 x 112/112), and simplify further in order to have the common denominator. So the equivalent fraction for 18/7 is 288/112 and for 5/16 is 35/112. By simplifying this fraction addition 288/112 + 35/112, it becomes 323/112.

CALCULATION: 18/7 + 5/16 as a fraction
18/7 + 5/16 = (?)
18/7 + 5/16 = [(18 x 16) + (5 x 7)]/(7 x 16)
= (288 + 35)/112
= 323/112
18/7 + 5/16 = 323/112
18/7 plus 5/16 as a fraction is 323/112.

where
18/7 is a improper fraction as an addend,
5/16 is a proper fraction as an addend,
323/112 is the sum of 18/7 and 5/16.

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18/7 plus 5/16 as a decimal
18/7 + 5/16 = 323/112
323/112 = 2.8839
(18/7) + (5/16) as a decimal is 2.8839

where
2.8839 is the sum of 18/7 and 5/16.

The below workout with step by step calculation shows how to find the equivalent fraction between 18/7 and 5/16 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 18/7 plus 5/16 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(18/7) + (5/16) using LCM Method:
What is 18/7 plus 5/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/7
Fraction B: 5/16

What to be found?
(18/7) + (5/16) = ?
Find what's the sum of 18/7 and 5/16.

step 2 Compare the denominators of fractions 18/7 and 5/16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 18/7 and 5/16 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 5/16:
The LCM of 7 and 16 is 112.

step 4 Write the fractions 18/7 and 5/16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 18/7 + 5/16
= [(18 x 112)/(7 x 112)] + [(5 x 112)/(16 x 112)]

step 5 Simplify the expression to have common denominator:
= 288/112 + 35/112

step 6 Take the common values out and rewrite the above expression like the below:
= 1/112 x (288/1 + 35/1)
= 1/112 x (288 + 35)

step 7Simplify the above expression further:
= 1/112 x 323
= 323/112
18/7 + 5/16 = 323/112

Hence,
18/7 plus 5/16 as a fraction is 323/112.

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18/7 + 5/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 18/7
Fraction B: 5/16

What to be found?
(18/7)+(5/16) = ?
Find what's the sum of 18/7 and 5/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (18 x 16), 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 16) and rewrite the equation as like the below:
= (18 x 16) + (5 x 7)/(7 x 16)

step 3 Simplify and rewrite the fraction:
= (288 + 35)/112
18/7 + 5/16 = 323/112

Hence,
18/7 plus 5/16 in fraction is 323/112