16/1 + 7/2 as a fraction

Learn how to find what is 16/1 plus 7/2 in fraction form just in a few minutes. We have covered the easiest method to write 16/1 + 7/2 as a fraction and decimal.

Summary: 16/1 plus 7/2 = 39/2
Since both fractions have unequal denominators, 16/1 plus 7/2 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 16/1 and fraction 7/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 2. 2 is the LCM of 1 and 2. Multiplying the LCM 2 with the numerators and denominators of both fractions (16/1 x 2/2) + (7/2 x 2/2), and simplify further in order to have the common denominator. So the equivalent fraction for 16/1 is 32/2 and for 7/2 is 7/2. By simplifying this fraction addition 32/2 + 7/2, it becomes 39/2.

CALCULATION: 16/1 + 7/2 as a fraction
16/1 + 7/2 = (?)
16/1 + 7/2 = [(16 x 2) + (7 x 1)]/(1 x 2)
= (32 + 7)/2
= 39/2
16/1 + 7/2 = 39/2
16/1 plus 7/2 as a fraction is 39/2.

where
16/1 is a improper fraction as an addend,
7/2 is a improper fraction as an addend,
39/2 is the sum of 16/1 and 7/2.

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16/1 plus 7/2 as a decimal
16/1 + 7/2 = 39/2
39/2 = 19.5
(16/1) + (7/2) as a decimal is 19.5

where
19.5 is the sum of 16/1 and 7/2.

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

(16/1) + (7/2) using LCM Method:
What is 16/1 plus 7/2 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/1
Fraction B: 7/2

What to be found?
(16/1) + (7/2) = ?
Find what's the sum of 16/1 and 7/2.

step 2 Compare the denominators of fractions 16/1 and 7/2 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 16/1 and 7/2 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 16/1 and 7/2:
The LCM of 1 and 2 is 2.

step 4 Write the fractions 16/1 and 7/2 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/1 + 7/2
= [(16 x 2)/(1 x 2)] + [(7 x 2)/(2 x 2)]

step 5 Simplify the expression to have common denominator:
= 32/2 + 7/2

step 6 Take the common values out and rewrite the above expression like the below:
= 1/2 x (32/1 + 7/1)
= 1/2 x (32 + 7)

step 7Simplify the above expression further:
= 1/2 x 39
= 39/2
16/1 + 7/2 = 39/2

Hence,
16/1 plus 7/2 as a fraction is 39/2.

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16/1 + 7/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/1
Fraction B: 7/2

What to be found?
(16/1)+(7/2) = ?
Find what's the sum of 16/1 and 7/2.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 2), find the product of numerator of Fraction B and denominator of Fraction A (7 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 2) and rewrite the equation as like the below:
= (16 x 2) + (7 x 1)/(1 x 2)

step 3 Simplify and rewrite the fraction:
= (32 + 7)/2
16/1 + 7/2 = 39/2

Hence,
16/1 plus 7/2 in fraction is 39/2