What is 2/5 plus 9 in fraction?
2/5 plus 9 equals to 47/5 in fraction form.
2/5 + 9 in fraction form
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
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/5 and 9 having identical denominators before starting adding the fractions. Find the LCM of denominators, 5 is the LCM of 5 and 1. Multiply the LCM 5 with all 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 denominators. By simplifying the fraction addition expression becomes 47/5.
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 fraction as an addend,
9 is a fraction as an addend,
47/5 is the sum of 2/5 and 9.
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.
How to find 2/5+9 as a fraction?
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 equals to 47/5 in fraction.
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 = 47/5