12/5 + 9/16 as a fraction

Learn how to find what is 12/5 plus 9/16 in fraction form just in a few minutes. We have covered the easiest method to write 12/5 + 9/16 as a fraction and decimal.

Summary: 12/5 plus 9/16 = 237/80
Since both fractions have unequal denominators, 12/5 plus 9/16 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 12/5 and fraction 9/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 16. 80 is the LCM of 5 and 16. Multiplying the LCM 80 with the numerators and denominators of both fractions (12/5 x 80/80) + (9/16 x 80/80), and simplify further in order to have the common denominator. So the equivalent fraction for 12/5 is 192/80 and for 9/16 is 45/80. By simplifying this fraction addition 192/80 + 45/80, it becomes 237/80.

CALCULATION: 12/5 + 9/16 as a fraction
12/5 + 9/16 = (?)
12/5 + 9/16 = [(12 x 16) + (9 x 5)]/(5 x 16)
= (192 + 45)/80
= 237/80
12/5 + 9/16 = 237/80
12/5 plus 9/16 as a fraction is 237/80.

where
12/5 is a improper fraction as an addend,
9/16 is a proper fraction as an addend,
237/80 is the sum of 12/5 and 9/16.

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12/5 plus 9/16 as a decimal
12/5 + 9/16 = 237/80
237/80 = 2.9625
(12/5) + (9/16) as a decimal is 2.9625

where
2.9625 is the sum of 12/5 and 9/16.

The below workout with step by step calculation shows how to find the equivalent fraction between 12/5 and 9/16 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 12/5 plus 9/16 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(12/5) + (9/16) using LCM Method:
What is 12/5 plus 9/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/5
Fraction B: 9/16

What to be found?
(12/5) + (9/16) = ?
Find what's the sum of 12/5 and 9/16.

step 2 Compare the denominators of fractions 12/5 and 9/16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 12/5 and 9/16 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 12/5 and 9/16:
The LCM of 5 and 16 is 80.

step 4 Write the fractions 12/5 and 9/16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 12/5 + 9/16
= [(12 x 80)/(5 x 80)] + [(9 x 80)/(16 x 80)]

step 5 Simplify the expression to have common denominator:
= 192/80 + 45/80

step 6 Take the common values out and rewrite the above expression like the below:
= 1/80 x (192/1 + 45/1)
= 1/80 x (192 + 45)

step 7Simplify the above expression further:
= 1/80 x 237
= 237/80
12/5 + 9/16 = 237/80

Hence,
12/5 plus 9/16 as a fraction is 237/80.

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12/5 + 9/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/5
Fraction B: 9/16

What to be found?
(12/5)+(9/16) = ?
Find what's the sum of 12/5 and 9/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (12 x 16), find the product of numerator of Fraction B and denominator of Fraction A (9 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 16) and rewrite the equation as like the below:
= (12 x 16) + (9 x 5)/(5 x 16)

step 3 Simplify and rewrite the fraction:
= (192 + 45)/80
12/5 + 9/16 = 237/80

Hence,
12/5 plus 9/16 in fraction is 237/80