2/1 + 7/16 as a fraction

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

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

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

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

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2/1 plus 7/16 as a decimal
2/1 + 7/16 = 39/16
39/16 = 2.4375
(2/1) + (7/16) as a decimal is 2.4375

where
2.4375 is the sum of 2/1 and 7/16.

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

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

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

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

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

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

step 5 Simplify the expression to have common denominator:
= 32/16 + 7/16

step 6 Take the common values out and rewrite the above expression like the below:
= 1/16 x (32/1 + 7/1)
= 1/16 x (32 + 7)

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

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

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

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

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

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

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