2/5 + 9 as a fraction

Learn how to find what is 2/5 plus 9 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 + 9 as a fraction and decimal.

Summary: 2/5 plus 9 = 47/5
Since both fractions have unequal denominators, 2/5 plus 9 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/5 and fraction 9 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 (2/5 x 5/5) + (9 x 5/5), and simplify further in order to have the common denominator. So the equivalent fraction for 2/5 is 2/5 and for 9 is 45/5. By simplifying this fraction addition 2/5 + 45/5, it becomes 47/5.

CALCULATION: 2/5 + 9 as a fraction
2/5 + 9 = (?)
2/5 + 9/1 = [(2 x 1) + (9 x 5)]/(5 x 1)
= (2 + 45)/5
= 47/5
2/5 + 9 = 47/5
2/5 plus 9 as a fraction is 47/5.

where
2/5 is a proper fraction as an addend,
9 is a whole number as an addend,
47/5 is the sum of 2/5 and 9.

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2/5 plus 9 as a decimal
2/5 + 9 = 47/5
47/5 = 9.4
(2/5) + (9) as a decimal is 9.4

where
9.4 is the sum of 2/5 and 9.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/5 and 9 by adding fraction to a whole number . The sum in fraction form for 2/5 plus 9/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/5) + (9) using LCM Method:
What is 2/5 plus 9 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 9/1

What to be found?
(2/5) + (9) = ?
Find what's the sum of 2/5 and 9.

step 2 Compare the denominators of fractions 2/5 and 9 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/5 and 9 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 2/5 and 9:
The LCM of 5 and 1 is 5.

step 4 Write the fractions 2/5 and 9 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/5 + 9
= [(2 x 5)/(5 x 5)] + [(9 x 5)/(1 x 5)]

step 5 Simplify the expression to have common denominator:
= 2/5 + 45/5

step 6 Take the common values out and rewrite the above expression like the below:
= 1/5 x (2/1 + 45/1)
= 1/5 x (2 + 45)

step 7Simplify the above expression further:
= 1/5 x 47
= 47/5
2/5 + 9 = 47/5

Hence,
2/5 plus 9 as a fraction is 47/5.

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2/5 + 9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 9/1

What to be found?
(2/5)+(9) = ?
Find what's the sum of 2/5 and 9.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 1), 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 1) and rewrite the equation as like the below:
= (2 x 1) + (9 x 5)/(5 x 1)

step 3 Simplify and rewrite the fraction:
= (2 + 45)/5
2/5 + 9 = 47/5

Hence,
2/5 plus 9 in fraction is 47/5