What is 2/9 plus 3 in fraction?
2/9 plus 3 equals to 29/9 in fraction form.
Learn how to find what is 2/9 plus 3 in fraction form just in a few minutes. We have covered the easiest method to write 2/9 + 3 as a fraction and decimal.
Summary: 2/9 plus 3
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/9 and 3 having identical denominators before starting adding the fractions. Find the LCM of denominators, 9 is the LCM of 9 and 1. Multiply the LCM 9 with all the numerators and denominators of both fractions (2/9 x 9/9) + (3 x 9/9) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 29/9.
The below workout with step by step calculation shows how to find the equivalent fraction between 2/9 and 3 by adding fraction to a whole number . The sum in fraction form for 2/9 plus 3/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
2/9+3 using LCM Method:
What is 2/9 plus 3 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 3/1
What to be found?
2/9+3 = ?
Find what's the sum of 2/9 and 3.
step 2 Compare the denominators of fractions 2/9 and 3 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/9 and 3 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 2/9 and 3:
The LCM of 9 and 1 is 9.
step 4 Write the fractions 2/9 and 3 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/9+3
=(2 x 9)/(9 x 9)+(3 x 9)/(1 x 9)
step 5 Simplify the expression to have common denominator:
=2/9+27/9
step 6 Take the common values out and rewrite the above expression like the below:
=1/9 x (2/1+27/1)
=1/9 x (2 + 27)
step 7Simplify the above expression further:
=1/9 x 29
=29/9
2/9+3=29/9
Hence,
2/9 plus 3 equals to 29/9 in fraction.
2/9+3 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 3/1
What to be found?
2/9+3 = ?
Find what's the sum of 2/9 and 3.
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 (3 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 1) and rewrite the equation as like the below:
= (2 x 1) + (3 x 9)/(9 x 1)
step 3 Simplify and rewrite the fraction:
= (2 + 27)/9
2/9+3 = 29/9
Hence,
2/9 plus 3 = 29/9